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Displaying similar documents to “On an extension of singular integrals along manifolds of finite type.”

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.