Inequalities for fractional integral operators on different metric measure spaces.

DOI10.5802/AMBP.300zbMath1234.26017OpenAlexW2315559377MaRDI QIDQ651822

David Mascré

Publication date: 19 December 2011

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219832

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityfractional integral operatorHedberg inequalitymeasurable metric space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted norm inequalities for operators of potential type and fractional maximal functions
• Lectures on analysis on metric spaces
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• On the $L^p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function
• 𝐴_{𝑝} weights for nondoubling measures in 𝑅ⁿ and applications
• Inégalités à poids pour l'opérateur de Hardy–Littlewood–Sobolev dans les espaces métriques mesurés à deux demi-dimensions
• Singular integrals on generalized Lipschitz and Hardy spaces
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Sobolev met Poincaré
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• The sharp Riesz potential estimates in metric spaces
• On Certain Convolution Inequalities
• Boundedness properties of fractional integral operators associated to non-doubling measures

This page was built for publication: Inequalities for fractional integral operators on different metric measure spaces.