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New Characterizations and Properties of Matrix A∞ Weights
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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Acta Mathematica Sinica, English Series
Abstract
We provide several new characterizations of Ap,∞-matrix weights, originally introduced by A. Volberg in [J. Amer. Math. Soc., 10, 445–466 (1997)] as matrix-valued substitutes of the classical Muckenhoupt A∞ weights. In analogy with the concept of Ap-dimensions of matrix weights introduced in our previous work, we introduce the concepts of the lower and the upper dimensions of Ap,∞-matrix weights, which enable us to obtain sharp estimates related to their reducing operators. In a companion article by the same authors, these results play a key role in the study of function spaces with Ap,∞-matrix weights, which extends earlier results in the more restricted class of Ap-matrix weights.
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Publisher Copyright: © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2025.
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Bu, F, Yang, D, Yuan, W & Hytönen, T 2025, 'New Characterizations and Properties of Matrix A ∞ Weights', Acta Mathematica Sinica, English Series. https://doi.org/10.1007/s10114-025-5143-9