On weights satisfying parabolic Muckenhoupt conditions

Juha Kinnunen*, Olli Saari

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This note collects results related to parabolic Muckenhoupt A(p) weights for a doubly nonlinear parabolic partial differential equation. A general approach is proposed, which extends the theory beyond the quadratic growth case. In particular, the natural parabolic geometry for the equation and the unavoidable time lag are incorporated in the definitions and results. The limiting Muckenhoupt conditions of A(infinity) type are also discussed and several open questions are posed. (C) 2015 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)289-299
Number of pages11
JournalNONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS
Volume131
DOIs
Publication statusPublished - Jan 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Weighted norm inequalities
  • Bounded mean oscillation
  • Doubly nonlinear equation
  • LITTLEWOOD MAXIMAL FUNCTIONS
  • HARNACK INEQUALITY
  • LOCAL BEHAVIOR
  • AP WEIGHTS
  • EQUATIONS
  • BMO
  • FACTORIZATION

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