Potential operators, maximal functions, and generalizations of \(A_{\infty}\)

DOI10.1023/A:1022449810008zbMath1027.42015OpenAlexW2144590357MaRDI QIDQ1811017

Carlos Pérez, Richard L. Wheeden

Publication date: 9 June 2003

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

Full work available at URL: https://doi.org/10.1023/a:1022449810008

zbMATH Keywords

maximal functionspace of homogeneous typefractional integralweighted norm estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85)

Related Items (16)

Two-weight norm inequalities for potential type and maximal operators in a metric space ⋮ Two-weight inequalities for commutators of potential operators on spaces of homogeneous type ⋮ Weighted \(L^p\)-inequalities for multi-parameter Riesz type potentials and strong fractional maximal operators ⋮ Lower bound of Schrödinger operators on Riemannian manifolds ⋮ Removable sets and \(L^p\)-uniqueness on manifolds and metric measure spaces ⋮ Continuity and approximate differentiability of multisublinear fractional maximal functions ⋮ A Sobolev inequality with reciprocal weights ⋮ Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities ⋮ Inequalities for two type potential operators on differential forms ⋮ Fractional maximal functions in metric measure spaces ⋮ Regularity of the local fractional maximal function ⋮ Assouad type dimensions in geometric analysis ⋮ Weighted estimates for commutators of potential operators on spaces of homogeneous type ⋮ On the good-$𝜆$ inequality for nonlinear potentials ⋮ A sharp subelliptic Sobolev embedding theorem with weights ⋮ Mapping properties of maximal operators on infinite connected graphs

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