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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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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, 2022Kwok-Pun Ho
exaly
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.
openaire +1 more source
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.
openaire +1 more source
Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces
Journal of Mathematical Analysis and Applications, 2021Kwok-Pun Ho
exaly
Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces
Periodica Mathematica Hungarica, 2020Kwok-Pun Ho
exaly
Hardy spaces with variable exponents and generalized Campanato spaces
Journal of Functional Analysis, 2012Eiichi Nakai, Yoshihiro Sawano
exaly

