Hardy and Sobolev inequalities in the half space

DOI10.1007/S10474-019-01004-6zbMath1474.46063OpenAlexW2981496629MaRDI QIDQ2204110

Yanyan Li

Publication date: 2 October 2020

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-019-01004-6

zbMATH Keywords

Hardy-Sobolev inequalityHerz-Morrey space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities involving derivatives and differential and integral operators (26D10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundedness of the Riesz potential in local Morrey-type spaces
• Morrey spaces in harmonic analysis
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Herz–Morrey spaces of variable exponent, Riesz potential operator and duality
• Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces
• Sobolev's theorem and duality for Herz-Morrey spaces of variable exponent
• Herz spaces and summability of Fourier transforms
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

This page was built for publication: Hardy and Sobolev inequalities in the half space