A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces

DOI10.1007/S00041-003-0025-XzbMath1074.46022OpenAlexW2001532146MaRDI QIDQ1879329

Richard L. Wheeden, Bruno Franchi, Carlos Pérez

Publication date: 22 September 2004

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-003-0025-x

zbMATH Keywords

Poincaré-Sobolev inequalitysum operatorquasimetric space of homogeneous type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (13)

Unnamed Item ⋮ Aspects of local-to-global results ⋮ Harnack's inequality and applications of quasilinear degenerate elliptic equations with rough and singular coefficients ⋮ A maximal function approach to two-measure Poincaré inequalities ⋮ Weighted Inequalities of Poincaré Type on Chain Domains ⋮ Enhanced oil recovery for ASP flooding based on biorthogonal spatial-temporal Wiener modeling and iterative dynamic programming ⋮ A note on the extension of BV functions in metric measure spaces ⋮ Self-improving properties of inequalities of Poincaré type on measure spaces and applications ⋮ Sum Operators and Fefferman–Phong Inequalities ⋮ Weighted higher order exponential type inequalities in metric spaces and applications ⋮ Harnack inequality for degenerate elliptic equations and sum operators ⋮ Embedding and compact embedding for weighted and abstract Sobolev spaces ⋮ Nonlinear elliptic equations related to weighted sum operators

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