Generalized Bochner-Riesz means on spaces generated by smooth blocks

Jin Cai Wang

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

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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.