Compactness of commutators of some integral operators on generalized Morrey spaces with variable exponent

Aliyev, J.; Aydoğdu, AYŞENUR; Aykol Kocakuşaklı, CANAY; Esen Almali, S.; Hasanov, J.

doi:10.1080/10652469.2025.2575332

Compactness of commutators of some integral operators on generalized Morrey spaces with variable exponent

Aliyev J. K., Aydoğdu A., Aykol Kocakuşaklı C., Esen Almali S., Hasanov J. J.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2025 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2025
Doi Numarası: 10.1080/10652469.2025.2575332
Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Ankara Üniversitesi Adresli: Evet

Özet

We consider the generalized Morrey spaces $ \mathcal {M}<^>{p(\cdot ),\varphi }(\Omega ) $ Mp(& sdot;),phi(Omega) with variable exponent $ p(x) $ p(x) and a general function $ \varphi (x,r) $ phi(x,r) defining the Morrey-type norm. In case of unbounded sets $ \Omega \subset {\mathbb {R}<^>{n}} $ Omega subset of Rn we prove the compactness of the commutators of the Riesz potential and Calder & oacute;n-Zygmund singular operators in variable exponent generalized Morrey spaces, where $ b \in VMO(\Omega ) $ b is an element of VMO(Omega).