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Bounded Operators on Mixed Norm Lebesgue Spaces. / Evseev, Nikita; Menovschikov, Alexander.

In: Complex Analysis and Operator Theory, Vol. 13, No. 5, 01.07.2019, p. 2239-2258.

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

Harvard

Evseev, N & Menovschikov, A 2019, 'Bounded Operators on Mixed Norm Lebesgue Spaces', Complex Analysis and Operator Theory, vol. 13, no. 5, pp. 2239-2258. https://doi.org/10.1007/s11785-018-0825-2

APA

Evseev, N., & Menovschikov, A. (2019). Bounded Operators on Mixed Norm Lebesgue Spaces. Complex Analysis and Operator Theory, 13(5), 2239-2258. https://doi.org/10.1007/s11785-018-0825-2

Vancouver

Evseev N, Menovschikov A. Bounded Operators on Mixed Norm Lebesgue Spaces. Complex Analysis and Operator Theory. 2019 Jul 1;13(5):2239-2258. doi: 10.1007/s11785-018-0825-2

Author

Evseev, Nikita ; Menovschikov, Alexander. / Bounded Operators on Mixed Norm Lebesgue Spaces. In: Complex Analysis and Operator Theory. 2019 ; Vol. 13, No. 5. pp. 2239-2258.

BibTeX

@article{281c177aa3f04ff499b2d926d5b9a546,
title = "Bounded Operators on Mixed Norm Lebesgue Spaces",
abstract = "We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given (in the case when the inducing mapping preserve the priority of variables). For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy–Steklov type operators.",
keywords = "Composition operator, Hardy operator, Mixed norm Lebesgue spaces",
author = "Nikita Evseev and Alexander Menovschikov",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",
year = "2019",
month = jul,
day = "1",
doi = "10.1007/s11785-018-0825-2",
language = "English",
volume = "13",
pages = "2239--2258",
journal = "Complex Analysis and Operator Theory",
issn = "1661-8254",
publisher = "Birkhauser Verlag Basel",
number = "5",

}

RIS

TY - JOUR

T1 - Bounded Operators on Mixed Norm Lebesgue Spaces

AU - Evseev, Nikita

AU - Menovschikov, Alexander

N1 - Publisher Copyright: © 2018, Springer Nature Switzerland AG.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given (in the case when the inducing mapping preserve the priority of variables). For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy–Steklov type operators.

AB - We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given (in the case when the inducing mapping preserve the priority of variables). For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy–Steklov type operators.

KW - Composition operator

KW - Hardy operator

KW - Mixed norm Lebesgue spaces

UR - http://www.scopus.com/inward/record.url?scp=85049770801&partnerID=8YFLogxK

U2 - 10.1007/s11785-018-0825-2

DO - 10.1007/s11785-018-0825-2

M3 - Article

AN - SCOPUS:85049770801

VL - 13

SP - 2239

EP - 2258

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

SN - 1661-8254

IS - 5

ER -

ID: 15965701