Vector $A_2$ weights and a Hardy-Littlewood maximal function

DOI10.1090/S0002-9947-01-02759-3zbMath0995.42015OpenAlexW1500217493MaRDI QIDQ2701692

Michael Goldberg, Michael Christ

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02759-3

zbMATH Keywords

reverse Hölder inequalityHardy-Littlewood maximal functionvector weights

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (16)

The sharp square function estimate with matrix weight ⋮ Characterizations of \(A_{2}\) matrix power weights ⋮ Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion ⋮ Convex body domination and weighted estimates with matrix weights ⋮ A study of the matrix Carleson embedding theorem with applications to sparse operators ⋮ Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type ⋮ Matrix weighted Kolmogorov-Riesz's compactness theorem ⋮ Boundedness of Journé operators with matrix weights ⋮ Bounds for the Hilbert transform with matrix \(A_{2}\) weights ⋮ Sharp matrix weighted strong type inequalities for the dyadic square function ⋮ Sparse bounds for maximal rough singular integrals via the Fourier transform ⋮ Two weight bump conditions for matrix weights ⋮ Littlewood-Paley theory for matrix-weighted function spaces ⋮ Weak endpoint bounds for matrix weights ⋮ The matrix-weighted dyadic convex body maximal operator is not bounded ⋮ Matrix-weighted Besov spaces

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