Published July 12, 2022 | Version v1
Publication Open

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

  • 1. University of Azad Jammu and Kashmir
  • 2. King Khalid University
  • 3. Çankaya University

Description

Abstract This research investigates the boundedness of a p -adic fractional integral operator on p -adic Morrey–Herz spaces. In particular, p -adic central bounded mean oscillations $(C\dot{M}O)$ (CM˙O) and Lipschitz estimate for commutators of the p -adic fractional integral operator are provided as well.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

ملخص يبحث هذا البحث في حدود عامل التكامل الكسري p - adic على مساحات p - adic Morrey - Herz. على وجه الخصوص، يتم توفير متوسط التذبذبات المحدود المركزي لـ p - adic $(C\ dot {M}O)$(CM? O) وتقدير ليبشيتز لمبدلات مشغل التكامل الكسري لـ p - adic أيضًا.

Translated Description (French)

Résumé Cette recherche étudie le caractère borné d'un opérateur d'intégrale fractionnaire p -adique sur des espaces de Morrey–Herz p -adiques. En particulier, les oscillations moyennes bornées centrales p -adiques $( C\dot{M}O)$ ( CMO) et l'estimation de Lipschitz pour les commutateurs de l'opérateur d'intégrale fractionnaire p -adique sont également fournies.

Translated Description (Spanish)

Resumen Esta investigación investiga la delimitación de un operador integral fraccional p-ádico en espacios p-ádicos de Morrey-Herz. En particular, también se proporcionan las oscilaciones medias acotadas centrales p-ádicas $(C\ dot {M}O)$ (CM O) y la estimación de Lipschitz para los conmutadores del operador integral fraccional p-ádico.

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Additional details

Additional titles

Translated title (Arabic)
تقديرات لمشغل التكامل الكسري p - adic ومبدلاته على مساحات p - adic Morrey - Herz
Translated title (French)
Estimations de l'opérateur d'intégrale fractionnaire p-adique et de ses commutateurs sur les espaces de Morrey–Herz p-adiques
Translated title (Spanish)
Estimaciones para el operador integral fraccional p-ádico y sus conmutadores en espacios p-ádicos de Morrey-Herz

Identifiers

Other
https://openalex.org/W4285092936
DOI
10.1186/s13660-022-02829-6

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Turkey

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