The Composition Operator on Mixed-Norm Lebesgue Spaces

Standard

The Composition Operator on Mixed-Norm Lebesgue Spaces. / Evseev, N. A.; Menovshchikov, A. V.

In: Mathematical Notes, Vol. 105, No. 5-6, 01.05.2019, p. 812-817.

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

Harvard

Evseev, NA & Menovshchikov, AV 2019, 'The Composition Operator on Mixed-Norm Lebesgue Spaces', Mathematical Notes, vol. 105, no. 5-6, pp. 812-817. https://doi.org/10.1134/S0001434619050195

APA

Evseev, N. A., & Menovshchikov, A. V. (2019). The Composition Operator on Mixed-Norm Lebesgue Spaces. Mathematical Notes, 105(5-6), 812-817. https://doi.org/10.1134/S0001434619050195

Vancouver

Evseev NA, Menovshchikov AV. The Composition Operator on Mixed-Norm Lebesgue Spaces. Mathematical Notes. 2019 May 1;105(5-6):812-817. doi: 10.1134/S0001434619050195

Author

Evseev, N. A. ; Menovshchikov, A. V. / The Composition Operator on Mixed-Norm Lebesgue Spaces. In: Mathematical Notes. 2019 ; Vol. 105, No. 5-6. pp. 812-817.

BibTeX

@article{534b4c86ecec45a99a463beba558b154,

title = "The Composition Operator on Mixed-Norm Lebesgue Spaces",

abstract = "It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.",

keywords = "composition operator, measurable mappings, mixed-norm Lebesgue spaces",

author = "Evseev, {N. A.} and Menovshchikov, {A. V.}",

note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",

year = "2019",

month = may,

day = "1",

doi = "10.1134/S0001434619050195",

language = "English",

volume = "105",

pages = "812--817",

journal = "Mathematical Notes",

issn = "0001-4346",

publisher = "PLEIADES PUBLISHING INC",

number = "5-6",

}

RIS

TY - JOUR

T1 - The Composition Operator on Mixed-Norm Lebesgue Spaces

AU - Evseev, N. A.

AU - Menovshchikov, A. V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.

AB - It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.

KW - composition operator

KW - measurable mappings

KW - mixed-norm Lebesgue spaces

UR - http://www.scopus.com/inward/record.url?scp=85068185149&partnerID=8YFLogxK

U2 - 10.1134/S0001434619050195

DO - 10.1134/S0001434619050195

M3 - Article

AN - SCOPUS:85068185149

VL - 105

SP - 812

EP - 817

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 5-6

ER -

ID: 20709714