The local trace inequality for potential type integral operators

DOI10.1007/s11118-012-9291-zzbMath1266.42049OpenAlexW1980573265MaRDI QIDQ1935450

Hitoshi Tanaka, Hendra Gunawan

Publication date: 15 February 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9291-z

zbMATH Keywords

Morrey spacetrace inequalityOlsen inequalitypotential type integral operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (45P05) Linear operators on function spaces (general) (47B38)

Related Items

The \(n\) linear embedding theorem, The trilinear embedding theorem, Two weight estimates for a class of \((p,q)\) type sublinear operators and their commutators, A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz-Morrey spaces and fractional operators
• The trace inequality and eigenvalue estimates for Schrödinger operators
• A note on Riesz potentials
• Wolff's inequality for radially nonincreasing kernels and applications to trace inequalities
• A note on generalized fractional integral operators on generalized Morrey spaces
• Two-weight inequalities for commutators of potential operators on spaces of homogeneous type
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES
• ON $L^p$–$L^q$ TRACE INEQUALITIES
• MORREY SPACES AND FRACTIONAL OPERATORS
• Weighted Nonlinear Potential Theory
• Imbedding theorems of Sobolev type in potential theory.
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Trace Inequalities of Sobolev Type in the Upper Triangle Case
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels
• Fractional Integration, morrey spaces and a schrödinger equation
• WEIGHTED INEQUALITIES FOR COMMUTATORS OF POTENTIAL TYPE OPERATORS