Weighted Morrey-Herz spaces and applications.

Kuang, Jichang

Displaying similar documents to “Weighted Morrey-Herz spaces and applications.”

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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 $ℳ_{p, ω_{1}}$ to another $ℳ_{p, ω_{2}}$ , $1 < p < \infty$ , and from the space $ℳ_{1, ω_{1}}$ to the weak space $W ℳ_{1, ω_{2}}$ . As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.

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