T 1 theorem for Besov spaces on nonhomogeneous spaces |
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Authors: | Donggao Deng and Yanchang Han |
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Affiliation: | (1) Department of Mathematics, Zhongshan University, 510275 Guangzhou, P. R. China;(2) Department of mathematics, South China Normal University, 510631 Guangzhou, P. R. China |
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Abstract: | Suppose μ is a Radon measure on ℝ d , which may be non doubling. The only condition assumed on μ is a growth condition, namely, there is a constant C0>0 such that for all x∈supp(μ) and r>0, μ(B(x, r))⪯C0rn, where 0
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Keywords: | Besov space T1 theorem nonhomogeneous space Calderón-Zygmund operator Littlewood-Paley theory |
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