New Characterizations and Properties of Matrix A∞ Weights

Fan Bu; Dachun Yang; Wen Yuan; Tuomas Hytönen

doi:10.1007/s10114-025-5143-9

New Characterizations and Properties of Matrix A_∞ Weights

Fan Bu
, Dachun Yang^*
, Wen Yuan
, Tuomas Hytönen

^*Tämän työn vastaava kirjoittaja

Beijing Normal University

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

6 Viittaukset (Web of Science)

Abstrakti

We provide several new characterizations of A_p,∞-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 A_p-dimensions of matrix weights introduced in our previous work, we introduce the concepts of the lower and the upper dimensions of A_p,∞-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 A_p,∞-matrix weights, which extends earlier results in the more restricted class of A_p-matrix weights.

Alkuperäiskieli	Englanti
Julkaisu	Acta Mathematica Sinica, English Series
DOI - pysyväislinkit	https://doi.org/10.1007/s10114-025-5143-9
Tila	Sähköinen julkaisu (e-pub) ennen painettua julkistusta - 11 lokak. 2025
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

This project is partially supported by the National Key Research and Development Program of China (Grant No. 2020YFA0712900), the National Natural Science Foundation of China (Grant Nos. 12431006 and 12371093), the Fundamental Research Funds for the Central Universities (Grant No. 2253200028), and the Research Council of Finland (Grant Nos. 346314 and 364208).

Pääsy asiakirjaan

10.1007/s10114-025-5143-9

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Kielletty (embargo) dokumentti

New Characterizations and Properties of Matrix A∞ Weights
Accepted author manuscript, 245 KB
Kielto päättyy: 11/10/2026

FIRST Hytönen 2024-2026: Finnish centre of excellence in Randomness and STructures (FiRST)
Hytönen, T. (Vastuullinen johtaja), Miller, A. (Projektin jäsen) & Zacchini, L. (Projektin jäsen)
01/01/2024 → 31/12/2026
Projekti: RCF Centre of Excellence

Siteeraa tätä

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