Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Alexander Menovschikov; Alexander Ukhlov

doi:https://doi.org/10.48550/arXiv.2110.09261

Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Working paper › Preprint

Abstract

In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. On this base we obtain measure distortion properties Q-homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of Q-mappings.

Original language	American English
DOIs	https://doi.org/10.48550/arXiv.2110.09261
State	Published - 18 Oct 2021

Keywords

46E35, 30C65
math.AP

Access to Document

https://doi.org/10.48550/arXiv.2110.09261

Cite this

@techreport{6d83eafcda12499bbf3bedef41c376eb,

title = "Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities",

abstract = "In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. On this base we obtain measure distortion properties Q-homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of Q-mappings.",

keywords = "46E35, 30C65, math.AP",

author = "Alexander Menovschikov and Alexander Ukhlov",

note = "21 pages",

year = "2021",

month = oct,

day = "18",

doi = "https://doi.org/10.48550/arXiv.2110.09261",

language = "American English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

AU - Menovschikov, Alexander

AU - Ukhlov, Alexander

N1 - 21 pages

PY - 2021/10/18

Y1 - 2021/10/18

N2 - In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. On this base we obtain measure distortion properties Q-homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of Q-mappings.

AB - In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. On this base we obtain measure distortion properties Q-homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of Q-mappings.

KW - 46E35, 30C65

KW - math.AP

U2 - https://doi.org/10.48550/arXiv.2110.09261

DO - https://doi.org/10.48550/arXiv.2110.09261

M3 - Preprint

BT - Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

ER -

Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Abstract

Keywords

Access to Document

Fingerprint

Cite this