Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases
نویسندگان
چکیده
منابع مشابه
Cosine - Modulated Orthonormal Wavelet Bases
To give exibility to the time-frequency resolution trade-o of orthonormal (ON) wavelet bases constructed by I.Daubechies [2, 1], recently multiplicityM ON wavelet bases(more generally tight frames (TFs)) have been constructedby several authors [3, 4, ?, 7, 12]. These generalizations ofthe multiplicity 2 ON wavelet bases of I. Daubechies, di erfrom the latter in that, whi...
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The main purpose of this paper is to derive a new (p, q)-atomic decomposition on the multi-parameter Hardy space H(X1 ×X2) for 0 < p0 < p ≤ 1 for some p0 and all 1 < q < ∞, where X1 × X2 is the product of two spaces of homogeneous type in the sense of Coifman and Weiss. This decomposition converges in both L(X1 × X2) (for 1 < q < ∞) and Hardy space H(X1 × X2) (for 0 < p ≤ 1). As an application,...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2018
ISSN: 1063-5203
DOI: 10.1016/j.acha.2016.09.002