Displaying similar documents to “On the boundedness of maximal operators and singular operators with kernels in L ( log L ) α ( S n - 1 ) .”

On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces

Ali Akbulut, Vagif Guliyev, Rza Mustafayev (2012)

Mathematica Bohemica

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In the paper we find conditions on the pair ( ω 1 , ω 2 ) which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space p , ω 1 to another p , ω 2 , 1 < p < , and from the space 1 , ω 1 to the weak space W 1 , ω 2 . As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.