Two-weight norm, Poincaré, Sobolev and Stein-Weiss inequalities on Morrey spaces

DOI10.4171/PRIMS/53-1-4zbMath1366.26023MaRDI QIDQ520745

Kwok-Pun Ho

Publication date: 5 April 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

singular integral operatorPoincaré inequalitySobolev inequalityHardy inequalityMorrey spaceRellich inequalityfractional integral operatorStein-Weiss inequalitytwo-weight norm inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (13)

Young's inequalities and Hausdorff-Young inequalities on Herz spaces ⋮ Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces ⋮ Stein-Weiss-Adams inequality on Morrey spaces ⋮ Two-weight norm inequalities for rough fractional integral operators on Morrey spaces ⋮ Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces ⋮ The Ahlfors–Beurling transform on Morrey spaces with variable exponents ⋮ Stein-Weiss inequalities for radial local Morrey spaces ⋮ Unnamed Item ⋮ Zygmund inequality of the conjugate function on Morrey-Zygmund spaces ⋮ Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents ⋮ Fractional integral operators on Borel-Morrey spaces with q ≤ p ⋮ Stein-Weiss inequality for local mixed radial-angular Morrey spaces ⋮ Potential type operators on weighted Morrey spaces

Cites Work

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• A note on Riesz potentials
• Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class
• Harnack's inequality and mean—value inequalities for solutions of degenerate elliptic equations
• A weighted norm inequality for singular integrals

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