Norms of the composition of the maximal and projection operators

Yuming Xing; Shusen Ding

doi:10.1016/j.na.2010.02.038

Norms of the composition of the maximal and projection operators

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings.

Original language	English
Pages (from-to)	4614-4624
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2010.02.038
State	Published - 15 Jun 2010

Keywords

Differential forms
Harmonic equations
Maximal operator
Projection operator

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10.1016/j.na.2010.02.038

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title = "Norms of the composition of the maximal and projection operators",

abstract = "In this paper, we develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings.",

keywords = "Differential forms, Harmonic equations, Maximal operator, Projection operator",

author = "Yuming Xing and Shusen Ding",

year = "2010",

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doi = "10.1016/j.na.2010.02.038",

language = "英语",

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TY - JOUR

T1 - Norms of the composition of the maximal and projection operators

AU - Xing, Yuming

AU - Ding, Shusen

PY - 2010/6/15

Y1 - 2010/6/15

N2 - In this paper, we develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings.

AB - In this paper, we develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings.

KW - Differential forms

KW - Harmonic equations

KW - Maximal operator

KW - Projection operator

UR - https://www.scopus.com/pages/publications/77950369830

U2 - 10.1016/j.na.2010.02.038

DO - 10.1016/j.na.2010.02.038

M3 - 文章

AN - SCOPUS:77950369830

SN - 0362-546X

VL - 72

SP - 4614

EP - 4624

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

Norms of the composition of the maximal and projection operators

Abstract

Keywords

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