Littlewood-Paley theory recovers L^p integrability of the Fourier transform of E_{α,β}(e^{iπ s} |·|^γ) for 0<γ≤(d-1)/2 and broad parameter ranges, enabling estimates for nonlocal space-time problems.
Journal of Mathematical Analysis and Applications 487(2), 123999 (2020)
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Derives asymptotic upper bounds on the Fourier transform of E_{α,β}(e^{iφ} |x|^σ) for σ > (n-1)/2 and applies them to obtain L^p membership for certain p not reachable by classical inequalities.
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A Littlewood-Paley approach to the Mittag-Leffler function in the frequency space and applications to nonlocal problems
Littlewood-Paley theory recovers L^p integrability of the Fourier transform of E_{α,β}(e^{iπ s} |·|^γ) for 0<γ≤(d-1)/2 and broad parameter ranges, enabling estimates for nonlocal space-time problems.
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On the asymptotic behaviour of the Fourier transform of the Mittag-Leffler function
Derives asymptotic upper bounds on the Fourier transform of E_{α,β}(e^{iφ} |x|^σ) for σ > (n-1)/2 and applies them to obtain L^p membership for certain p not reachable by classical inequalities.