Characterizations of parabolic Muckenhoupt classes

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Authors

Date

2024-05

Department

Department of Mathematics and Systems Analysis

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Mcode

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Language

en

Pages

Series

Advances in Mathematics, Volume 444

Abstract

This paper extends and complements the existing theory for the parabolic Muckenhoupt weights motivated by one-sided maximal functions and a doubly nonlinear parabolic partial differential equation of p-Laplace type. The main results include characterizations for the limiting parabolic A∞ and A1 classes by applying an uncentered parabolic maximal function with a time lag. Several parabolic Calderón–Zygmund decompositions, covering and chaining arguments appear in the proofs.

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Publisher Copyright: © 2024 The Author(s)

Keywords

Doubly nonlinear equation, One-sided weights, Parabolic maximal functions, Parabolic Muckenhoupt weights

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DOI

10.1016/j.aim.2024.109612

Citation

Kinnunen, J & Myyryläinen, K 2024, 'Characterizations of parabolic Muckenhoupt classes', Advances in Mathematics, vol. 444, 109612. https://doi.org/10.1016/j.aim.2024.109612

Permanent link to this item

https://urn.fi/URN:NBN:fi:aalto-202404113016

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[article-cris] Perustieteiden korkeakoulu / SCI