On weights satisfying parabolic Muckenhoupt conditions

Juha Kinnunen; Olli Saari

doi:10.1016/j.na.2015.07.014

On weights satisfying parabolic Muckenhoupt conditions

Juha Kinnunen^*, Olli Saari

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

7 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	289-299
Sivumäärä	11
Julkaisu	NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS
Vuosikerta	131
DOI - pysyväislinkit	https://doi.org/10.1016/j.na.2015.07.014
Tila	Julkaistu - tammik. 2016
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1016/j.na.2015.07.014

OpenUrl-saatavuus

Koko teksti

Siteeraa tätä

@article{b3aaeb14db28485c99a7a7587a69288a,

title = "On weights satisfying parabolic Muckenhoupt conditions",

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.",

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

author = "Juha Kinnunen and Olli Saari",

year = "2016",

month = jan,

doi = "10.1016/j.na.2015.07.014",

language = "English",

volume = "131",

pages = "289--299",

journal = "NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS",

issn = "0362-546X",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - On weights satisfying parabolic Muckenhoupt conditions

AU - Kinnunen, Juha

AU - Saari, Olli

PY - 2016/1

Y1 - 2016/1

N2 - 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.

AB - 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.

KW - Weighted norm inequalities

KW - Bounded mean oscillation

KW - Doubly nonlinear equation

KW - LITTLEWOOD MAXIMAL FUNCTIONS

KW - HARNACK INEQUALITY

KW - LOCAL BEHAVIOR

KW - AP WEIGHTS

KW - EQUATIONS

KW - BMO

KW - FACTORIZATION

U2 - 10.1016/j.na.2015.07.014

DO - 10.1016/j.na.2015.07.014

M3 - Article

SN - 0362-546X

VL - 131

SP - 289

EP - 299

JO - NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS

JF - NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS

ER -

On weights satisfying parabolic Muckenhoupt conditions

Abstrakti

Pääsy asiakirjaan

OpenUrl-saatavuus

Sormenjälki

Siteeraa tätä