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• W2015953639 abstract "Let be a nonnegative Radon measure on which satisfies the growth condition that there exist constants and such that for all and , , where is the open ball centered at and having radius . In this paper, the authors establish the uniform boundedness for approximations of the identity introduced by Tolsa in the Hardy space and the BLO-type space RBLO . Moreover, the authors also introduce maximal operators (homogeneous) and (inhomogeneous) associated with a given approximation of the identity , and prove that is bounded from to and is bounded from the local atomic Hardy space to . These results are proved to play key roles in establishing relations between and , BMO-type spaces RBMO and rbmo as well as RBLO and rblo , and also in characterizing rbmo and rblo ." @default.
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• W2015953639 date "2007-01-01" @default.
• W2015953639 modified "2023-10-16" @default.
• W2015953639 title "Uniform Boundedness for Approximations of the Identity with Nondoubling Measures" @default.
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• W2015953639 doi "https://doi.org/10.1155/2007/19574" @default.
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