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FRAMES OF WAVELETS IN HARDY SPACE
Analysis, 1995Summary: Necessary and sufficient conditions are stated and proved for a system of functions \(\psi_{j,k}(s)= 2^{j/2} \psi(2^j s- k)\), \(j,k\in {\mathbf Z}\), to form a frame of wavelets in the Hardy space \({\mathbf H}^{2+}\). These conditions are expressed in terms of the Fourier transform \(\widehat\psi\) of \(\psi\).
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Canadian Mathematical Bulletin, 1990
AbstractW. Deeb, R. Khalil and M. Marzuq have studied some properties of H(ϕ), the Hardy-Orlicz spaces. They introduced the functions class Np (0 < p ≦ 1 ) and discussed some properties of Np. In the present short note we prove that Np = N+ for 0 < p ≦ 1. We also give a condition of H(ϕ) = H(ψ).
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AbstractW. Deeb, R. Khalil and M. Marzuq have studied some properties of H(ϕ), the Hardy-Orlicz spaces. They introduced the functions class Np (0 < p ≦ 1 ) and discussed some properties of Np. In the present short note we prove that Np = N+ for 0 < p ≦ 1. We also give a condition of H(ϕ) = H(ψ).
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Fourier Transform of Hardy Spaces Associated With Ball Quasi-Banach Function Spaces
Applicable Analysis, 2022Der-Chen Chang
exaly
Fractional Integral Operators on Orlicz Slice Hardy Spaces
Fractional Calculus and Applied Analysis, 2022Kwok-Pun Ho
exaly
Real-Variable Theory of Hardy Spaces Associated With Generalized Herz Spaces of Rafeiro and Samko
Lecture Notes in Mathematics, 2022Yinqin Li
exaly
Hardy Space Associated to Hardy Operators on Half Spaces
The Journal of Geometric AnalysisHuynh Cao Truong, Tran Phuoc An
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Hardy Spaces With Variable Exponents and Generalized Campanato Spaces
Journal of Functional Analysis, 2012Eiichi Nakai, Yoshihiro Sawano
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Atomic Decompositions and Hardy’s Inequality on Weak Hardy-Morrey Spaces
Science China Mathematics, 2017Kwok-Pun Ho
exaly