Uniform Boundedness for Approximations of the Identity with Nondoubling Measures

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Research Article Uniform Boundedness for Approximations of the Identity with Nondoubling Measures

Let μ be a nonnegative Radon measure on Rd which satisfies the growth condition that there exist constants C0 > 0 and n∈ (0,d] such that for all x ∈Rd and r > 0, μ(B(x,r))≤ C0r, where B(x,r) is the open ball centered at x and having radius r. In this paper, the authors establish the uniform boundedness for approximations of the identity introduced by Tolsa in the Hardy space H1(μ) and the BLO-t...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2007

ISSN: 1029-242X

DOI: 10.1155/2007/19574