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

Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro

doi:10.4064/sm217-2-4

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

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

In the setting of spaces of homogeneous type, it is shown that the commutator of Caldeŕon-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.

Original language	English
Pages (from-to)	159-178
Number of pages	20
Journal	Studia Mathematica
Volume	217
Issue number	2
DOIs	https://doi.org/10.4064/sm217-2-4
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications",

abstract = "In the setting of spaces of homogeneous type, it is shown that the commutator of Calde{\'r}on-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.",

author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro",

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T1 - Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications

AU - Kokilashvili, Vakhtang

AU - Meskhi, Alexander

AU - Rafeiro, Humberto

PY - 2013

Y1 - 2013

N2 - In the setting of spaces of homogeneous type, it is shown that the commutator of Caldeŕon-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.

AB - In the setting of spaces of homogeneous type, it is shown that the commutator of Caldeŕon-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.

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U2 - 10.4064/sm217-2-4

DO - 10.4064/sm217-2-4

M3 - Article

AN - SCOPUS:84885147249

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JO - Studia Mathematica

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

Abstract

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