Extends Stein's theorem to weighted estimates on Herz and Cesàro spaces for operators with size conditions on kernels, including multilinear strong- and weak-type versions and applications to rough singular integrals.
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2026 2verdicts
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Oscillation functionals in rearrangement-invariant spaces yield subcritical, supercritical, and critical embeddings, with critical regimes producing logarithmic Hansson-type refinements via a deviation function of ψ/ϕ_X that recover and extend classical endpoint results including Trudinger-type ones
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Weighted Extensions of Stein's Theorem for Linear and Multilinear Operators
Extends Stein's theorem to weighted estimates on Herz and Cesàro spaces for operators with size conditions on kernels, including multilinear strong- and weak-type versions and applications to rough singular integrals.
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Oscillation Functionals and Embeddings in Rearrangement-Invariant Spaces
Oscillation functionals in rearrangement-invariant spaces yield subcritical, supercritical, and critical embeddings, with critical regimes producing logarithmic Hansson-type refinements via a deviation function of ψ/ϕ_X that recover and extend classical endpoint results including Trudinger-type ones