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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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Noncommutative Symmetric Hardy Spaces
Integral Equations and Operator Theory, 2014Let \(\mathcal{M}\) be a finite von Neumann algebra with a faithful normal finite trace \(\tau\), let \(\mathcal{A}\) be a subdiagonal subalgebra of \(\mathcal{M}\) and \(E\) a symmetric quasi-Banach space on \([0,1]\). The author introduces noncommutative Hardy spaces \(H_E(\mathcal{A})\) and generalizes to this setting various results obtained ...
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Fractional integral operators on Orlicz slice Hardy spaces
Fractional Calculus and Applied Analysis, 2022Kwok-Pun Ho, Ho Kwok-Pun
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Real interpolation for variable martingale Hardy spaces
Journal of Mathematical Analysis and Applications, 2020Dejian Zhou, Ferenc Weisz, Yong Jiao
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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, Ho Kwok-Pun
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Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces
Periodica Mathematica Hungarica, 2020Kwok-Pun Ho, Ho Kwok-Pun
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