Maximal and Calderón-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00583252" target="_blank" >RIV/67985840:_____/23:00583252 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1080/00036811.2021.1952995" target="_blank" >https://doi.org/10.1080/00036811.2021.1952995</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/00036811.2021.1952995" target="_blank" >10.1080/00036811.2021.1952995</a>

Result language

angličtina

Original language name

Maximal and Calderón-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

Original language description

In this paper, we give the definition of local variable Morrey–Lorentz spaces (Formula presented.) which are a new class of functions. Also, we prove the boundedness of the Hardy–Littlewood maximal operator M and Calderón–Zygmund operators T on these spaces. Finally, we apply these results to the Bochner–Riesz operator (Formula presented.), identity approximation (Formula presented.) and the Marcinkiewicz operator (Formula presented.) on the spaces (Formula presented.).

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Applicable Analysis

ISSN

0003-6811

e-ISSN

1563-504X

Volume of the periodical

102

Issue of the periodical within the volume

2

Country of publishing house

GB - UNITED KINGDOM

Number of pages

10

Pages from-to

406-415

UT code for WoS article

000673099500001

EID of the result in the Scopus database

2-s2.0-85110684660