Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications

• Autorzy: Vakhtang Kokilashvili , Alexander Meskhi , Humberto Rafeiro
• Języki publikacji: EN

Abstrakty

EN

In the setting of spaces of homogeneous type, it is shown that the commutator of Calderón-Zygmund type operators as well as the commutator of a potential operator with a BMO function are bounded in a generalized grand Morrey space. Interior estimates for solutions of elliptic equations are also given in the framework of generalized grand Morrey spaces.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 217
• Numer: 2
• Strony: 159-178

Daty

wydano

2013

Twórcy

autor

Vakhtang Kokilashvili

• Department of Mathematical Analysis, A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2, University St., 0186 Tbilisi, Georgia
• International Black Sea University, 3, Agmashenebeli Ave., 0131 Tbilisi, Georgia

autor

Alexander Meskhi

• Department of Mathematical Analysis, A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2, University St., 0186 Tbilisi, Georgia
• Department of Mathematics, Faculty of Informatics and Control Systems, Georgian Technical University, 77, Kostava St., Tbilisi, Georgia

autor

Humberto Rafeiro

• Pontificia Universidad Javeriana, Departamento de Matemáticas, Cra 7a No 43-82, Ed. Carlos Ortiz 604, Bogotá, Colombia
• Instituto Superior Técnico, Departamento de Matemática, Centro CEAF, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Identyfikatory

DOI

10.4064/sm217-2-4