Riesz Potential and Its Commutators on Mixed Morrey Spaces

GULIYEV, VAGIF

doi:10.59849/2218-6816.2026.1.267

Riesz Potential and Its Commutators on Mixed Morrey Spaces

Yazarlar (1)

Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye

Makale Türü	Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı	Azerbaijan Journal of Mathematics
Dergi ISSN	2218-6816 Dergi Bilgileri (2026)
Dergi Tarandığı Indeksler	SCOPUS, google scholar
Makale Dili	İngilizce	Basım Tarihi	01-2026
Cilt / Sayı / Sayfa	16 / 1 / 267–286	DOI	10.59849/2218-6816.2026.1.267
Makale Linki	https://doi.org/10.59849/2218-6816.2026.1.267
UAK Araştırma Alanları	Matematiksel Analiz

Özet

In this paper, we investigate necessary and sufficient conditions for the boundedness of the Riesz potential operator Iα and its commutator on mixed Morrey spaces (formula presenetd). We characterize the Spanne-type and Adams-type boundedness of Iα on (formula presenetd), respectively. Furthermore, we establish necessary and sufficient conditions for the boundedness of the commutator [b, Iα] on (formula presenetd) when b ∈ BMO(ℝⁿ). As applications, we obtain estimates for the Marcinkiewicz operator and for fractional powers of certain analytic semigroups on mixed Morrey spaces.

Anahtar Kelimeler

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
Scopus	1
Google Scholar	2

Riesz Potential and Its Commutators on Mixed Morrey Spaces

Dergi Adı	Azerbaijan Journal of Mathematics
Kısa Adı	AZERBAIJAN J MATH
Yayıncı	INST MATH & MECHANICS AZERBAIJAN
Açık Erişim	Evet
ISSN	2218-6816
E-ISSN	2218-6816
Wos Quartile	Q3
Scopus Quartile	Q2
Tarandığı Indeksler	ESCI , Scopus
WoS Kategoriler	MATHEMATICS
Scopus Kategoriler	MATHEMATICS (MISCELLANEOUS)

Riesz Potential and Its Commutators on Mixed Morrey Spaces

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