Characterizations of parabolic Muckenhoupt classes

Juha Kinnunen, Kim Myyryläinen*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number109612
JournalAdvances in Mathematics
Volume444
DOIs
Publication statusPublished - May 2024
MoE publication typeA1 Journal article-refereed

Keywords

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

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