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Discrete Hardy spaces

Studia Mathematica, 1998
We study various characterizations of the Hardy spaces Hp(ℤ) via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of Hp(ℤ) given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
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Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
Kwok-Pun Ho
exaly  

Hardy spaces

2002
Jim Agler, John McCarthy
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Rational Hardy Spaces

2011
We devote this chapter to a description of the setting in which we will study, in Chapter 12, model reduction problems. These will include approximation in Hankel norm as well as approximation by balanced truncation. Since optimization is involved, we choose to work in rational Hardy spaces. This fits with our focus on finite-dimensional linear systems.
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Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces

Journal of Mathematical Analysis and Applications, 2021
Kwok-Pun Ho
exaly  

Hardy spaces with variable exponents and generalized Campanato spaces

Journal of Functional Analysis, 2012
Eiichi Nakai, Yoshihiro Sawano
exaly  

Anisotropic Mixed-Norm Hardy Spaces

Journal of Geometric Analysis, 2017
Morten Nielsen
exaly  

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