New Inequalities for the Jacobian

L. Greco; T. Iwaniec

doi:10.1016/S0294-1449(16)30194-9

New Inequalities for the Jacobian

L. Greco, T. Iwaniec

Department of Mathematics

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

34 Scopus citations

Abstract

We derive integral estimates for the Jacobian by using the Rochberg-Weiss theory of nonlinear commutators. A refinement of Müller's result is obtained. We demonstrate how local estimates can be used to improve the degree of integrability of the Jacobian.

Original language	English (US)
Pages (from-to)	17-35
Number of pages	19
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/S0294-1449(16)30194-9
State	Published - Jan 1 1994

Keywords

Jacobian
Nonlinear Commutators
Singular Integrals

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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10.1016/S0294-1449(16)30194-9

Cite this

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title = "New Inequalities for the Jacobian",

abstract = "We derive integral estimates for the Jacobian by using the Rochberg-Weiss theory of nonlinear commutators. A refinement of M{\"u}ller's result is obtained. We demonstrate how local estimates can be used to improve the degree of integrability of the Jacobian.",

keywords = "Jacobian, Nonlinear Commutators, Singular Integrals",

author = "L. Greco and T. Iwaniec",

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year = "1994",

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AB - We derive integral estimates for the Jacobian by using the Rochberg-Weiss theory of nonlinear commutators. A refinement of Müller's result is obtained. We demonstrate how local estimates can be used to improve the degree of integrability of the Jacobian.

KW - Jacobian

KW - Nonlinear Commutators

KW - Singular Integrals

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New Inequalities for the Jacobian

Abstract

Keywords

ASJC Scopus subject areas

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