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Michael Ruzhansky

Identifiers

  • name variant Michael Ruzhansky 0.60 · backfill

Papers (137)

  1. Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity math.AP · 2026 · author #4
  2. Fujita exponents on quantum Euclidean spaces math.AP · 2026 · author #2
  3. Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order math.AP · 2025 · author #4
  4. Re-expansions on compact Lie groups math.CA · 2019 · author #3
  5. Geometric Hardy inequalities on starshaped sets math.AP · 2019 · author #1
  6. Non-harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary math.FA · 2019 · author #1
  7. Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups math.FA · 2019 · author #2
  8. Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory math.FA · 2018 · author #3
  9. Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality math.FA · 2018 · author #2
  10. Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups math.AP · 2018 · author #1
  11. Very weak solutions to hypoelliptic wave equations math.AP · 2018 · author #1
  12. Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups math.AP · 2018 · author #2
  13. Approximations in $L^1$ with convergent Fourier series math.FA · 2018 · author #3
  14. H\"ormander condition for pseudo-multipliers associated to the harmonic oscillator math.FA · 2018 · author #2
  15. Weighted anisotropic Hardy and Rellich type inequalities for general vector fields math.AP · 2018 · author #1
  16. Spectral identities and smoothing estimates for evolution operators math.SP · 2018 · author #2
  17. Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and $p$-sub-Laplacian systems math.AP · 2018 · author #2
  18. Subelliptic geometric Hardy type inequalities on half-spaces and convex domains math.AP · 2018 · author #1
  19. A comparison principle for nonlinear heat Rockland operators on graded groups math.AP · 2018 · author #1
  20. Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups math.FA · 2018 · author #1
  21. Hypoelliptic functional inequalities math.FA · 2018 · author #1
  22. Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature math.FA · 2018 · author #1
  23. Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I. Well-posedness math.AP · 2018 · author #3
  24. Isoperimetric inequalities for some integral operators arising in potential theory math.FA · 2017 · author #1
  25. On nonlinear damped wave equations for positive operators. I. Discrete spectrum math.AP · 2017 · author #1
  26. A local-to-global boundedness argument and Fourier integral operators math.FA · 2017 · author #1
  27. A note on stability of Hardy inequalities math.FA · 2017 · author #1
  28. Geometric maximizers of Schatten norms of some convolution type integral operators math.FA · 2017 · author #1
  29. Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups math.FA · 2017 · author #1
  30. Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms on stratified Lie groups math.AP · 2017 · author #1
  31. Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations math.FA · 2017 · author #2
  32. Rellich inequalities for sub-Laplacians with drift math.FA · 2017 · author #1
  33. Fourier multipliers in Hilbert spaces math.FA · 2017 · author #2
  34. Green's identities, comparison principle and uniqueness of positive solutions for nonlinear $p$-sub-Laplacian equations on stratified Lie groups math.AP · 2017 · author #1
  35. Factorizations and Hardy-Rellich inequalities on stratified groups math.FA · 2017 · author #1
  36. Smooth dense subalgebras and Fourier multipliers on compact quantum groups math.OA · 2017 · author #3
  37. Time-dependent wave equations on graded groups math.AP · 2017 · author #1
  38. Wave equation for operators with discrete spectrum and irregular propagation speed math.AP · 2017 · author #1
  39. Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters math.AP · 2017 · author #2
  40. Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I math.FA · 2017 · author #2
  41. Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations math.AP · 2017 · author #1
  42. Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups math.AP · 2017 · author #1
  43. On Green functions for Dirichlet sub-Laplacians on H-type groups math.AP · 2017 · author #2
  44. Titchmarsh theorems for Fourier transforms of H\"older-Lipschitz functions on compact homogeneous manifolds math.FA · 2017 · author #3
  45. Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for $L^{p}$-weighted Hardy inequalities math.FA · 2017 · author #1
  46. Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces math.FA · 2017 · author #1
  47. Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field math.AP · 2016 · author #1
  48. Convolution, Fourier analysis, and distributions generated by Riesz bases math.FA · 2016 · author #1
  49. On boundary-value problems for a partial differential equation with Caputo and Bessel operators math.AP · 2016 · author #4
  50. Anisotropic $L^{2}$-weighted Hardy and $L^{2}$-Caffarelli-Kohn-Nirenberg inequalities math.FA · 2016 · author #1
  51. Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups math.FA · 2016 · author #1
  52. Wave equation for 2D Landau Hamiltonian math-ph · 2016 · author #1
  53. Nonharmonic analysis of boundary value problems without WZ condition math.FA · 2016 · author #1
  54. Fourier multipliers and group von Neumann algebras math.OA · 2016 · author #2
  55. $L^p$-bounds for pseudo-differential operators on compact Lie groups math.AP · 2016 · author #2
  56. On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and $p$-sub-Laplacian inequalities on stratified groups math.FA · 2016 · author #1
  57. $L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups math.FA · 2016 · author #2
  58. Uncertainty relations on nilpotent Lie groups math-ph · 2016 · author #1
  59. Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces math.FA · 2016 · author #2
  60. On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries math.SP · 2016 · author #1
  61. Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups math.CA · 2016 · author #1
  62. Critical Hardy inequalities math.AP · 2016 · author #1
  63. Local Hardy and Rellich inequalities for sums of squares of vector fields math.AP · 2016 · author #1
  64. On $C^\infty$ well-posedness of hyperbolic systems with multiplicities math.AP · 2015 · author #2
  65. Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups math.AP · 2015 · author #1
  66. $L^p$-$L^q$ multipliers on locally compact groups math.RT · 2015 · author #2
  67. Global regularity properties for a class of Fourier integral operators math.AP · 2015 · author #1
  68. Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses math.FA · 2015 · author #2
  69. On hyperbolic systems with time dependent H\"older characteristics math.AP · 2015 · author #2
  70. On the Gevrey well-posedness of the Kirchhoff equation math.AP · 2015 · author #2
  71. Smoothing estimates for non-dispersive equations math.AP · 2015 · author #1
  72. Isoperimetric inequalities for Schatten norms of Riesz potentials math.SP · 2015 · author #2
  73. Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups math.FA · 2015 · author #2
  74. Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary math.AP · 2015 · author #2
  75. Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds math.FA · 2015 · author #3
  76. Nonharmonic analysis of boundary value problems math.AP · 2015 · author #1
  77. On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group math.AP · 2015 · author #1
  78. Isoperimetric inequalities for the logarithmic potential operator math.FA · 2015 · author #1
  79. The bounded approximation property of variable Lebesgue spaces and nuclearity math.FA · 2015 · author #2
  80. Approximation property and nuclearity on mixed-norm $L^p$, modulation and Wiener amalgam spaces math.FA · 2014 · author #2
  81. Eigenfunction expansions of ultradifferentiable functions and ultradistributions math.FA · 2014 · author #2
  82. Global well-posedness of the Kirchhoff equation and Kirchhoff systems math.AP · 2014 · author #2
  83. Kernel and symbol criteria for Schatten classes and $r$-nuclearity on compact manifolds math.FA · 2014 · author #2
  84. Fourier multipliers, symbols and nuclearity on compact manifolds math.FA · 2014 · author #2
  85. Schatten classes on compact manifolds: Kernel conditions math.FA · 2014 · author #2
  86. Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds math.FA · 2014 · author #2
  87. Hardy-Littlewood inequalities and Fourier multipliers on SU(2) math.FA · 2014 · author #3
  88. Wave equation for sums of squares on compact Lie groups math.AP · 2014 · author #2
  89. A pseudo-differential calculus on the Heisenberg group math.FA · 2014 · author #2
  90. Recent progress in smoothing estimates for evolution equations math.AP · 2014 · author #1
  91. Hyperbolic second order equations with non-regular time dependent coefficients math.AP · 2013 · author #2
  92. Sobolev spaces on graded groups math.CA · 2013 · author #2
  93. Global functional calculus for operators on compact Lie groups math.FA · 2013 · author #1
  94. Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups math.FA · 2013 · author #2
  95. On Hadamard's global inverse function theorem (On global inversion of homogeneous maps) math.FA · 2013 · author #1
  96. On multipliers on compact Lie groups math.FA · 2013 · author #1
  97. Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups math.FA · 2013 · author #2
  98. Schatten classes and traces on compact groups math.FA · 2013 · author #2
  99. Smoothing properties of inhomogeneous equations via canonical transforms math.AP · 2013 · author #1
  100. On weakly hyperbolic equations with analytic principal part math.AP · 2013 · author #2
  101. Lower bounds for operators on graded Lie groups math.FA · 2013 · author #2
  102. Global well-posedness of Kirchhoff systems math.AP · 2012 · author #2
  103. A pseudo-differential calculus on graded Lie groups math.FA · 2012 · author #2
  104. Trace theorems: critical cases and best constants math.FA · 2012 · author #1
  105. Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces math.FA · 2012 · author #2
  106. Weakly hyperbolic equations with non-analytic coefficients and lower order terms math.AP · 2012 · author #2
  107. Modulation Spaces and Nonlinear Evolution Equations math.AP · 2012 · author #1
  108. Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations math.AP · 2012 · author #1
  109. On the well-posedness of weakly hyperbolic equations with time dependent coefficients math.AP · 2011 · author #2
  110. Lp Fourier multipliers on compact Lie groups math.FA · 2011 · author #1
  111. Structural resolvent estimates and derivative nonlinear Schrodinger equations math.AP · 2011 · author #1
  112. A necessary and sufficient condition on scattering for the regularly hyperbolic systems math.AP · 2010 · author #2
  113. Sharp Garding inequality on compact Lie groups math.FA · 2010 · author #1
  114. Dispersive type estimates for Fourier integrals and applications to hyperbolic systems math.AP · 2010 · author #1
  115. Dispersive estimates for hyperbolic systems with time-dependent coefficients math.AP · 2010 · author #1
  116. Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity math.FA · 2010 · author #1
  117. Global Lp continuity of Fourier integral operators math.FA · 2009 · author #2
  118. Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere math.FA · 2008 · author #1
  119. Quantization of pseudo-differential operators on the torus math.FA · 2008 · author #1
  120. Changes of variables in modulation and Wiener amalgam spaces math.FA · 2008 · author #1
  121. On pseudo-differential operators on group SU(2) math.FA · 2008 · author #1
  122. Comparison of estimates for dispersive equations math.AP · 2008 · author #1
  123. On local and global regularity of Fourier integral operators math.FA · 2008 · author #1
  124. Criteria for Bochner's extension problem math.AP · 2008 · author #1
  125. Weighted Sobolev L2 estimates for a class of Fourier integral operators math.AP · 2007 · author #1
  126. Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients math.AP · 2007 · author #1
  127. An open problem in complex analytic geometry arising in harmonic analysis math.AP · 2007 · author #1
  128. Multidimensional decay in van der Corput lemma math.AP · 2007 · author #1
  129. Asymptotic integration and dispersion for hyperbolic equations math.AP · 2007 · author #2
  130. Dispersion and asymptotic profiles for Kirchhoff equations math.AP · 2007 · author #2
  131. Global time estimates for solutions to equations of dissipative type math.AP · 2006 · author #1
  132. On the Fourier analysis of operators on the torus math.FA · 2006 · author #1
  133. Smoothing estimates for evolution equations via canonical transforms and comparison math.AP · 2006 · author #1
  134. Lp-distributions on symmetric spaces math.FA · 2006 · author #1
  135. A smoothing property of Schrodinger equations in the critical case math.AP · 2004 · author #1
  136. Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities math.AP · 2004 · author #2
  137. Global L2-boundedness theorems for a class of Fourier integral operators math.AP · 2003 · author #1

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