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Hardy spaces with variable exponents and generalized Campanato spaces

Journal of Functional Analysis, 2012
In the present paper we define Hardy spaces with variable exponents on Rn by the grand maximal function, and then investigate their several properties. The present paper will connect harmonic analysis with function spaces with variable exponents.
Eiichi Nakai, Yoshihiro Sawano
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Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces

Acta Mathematica Sinica, English Series, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Yong, Lu, Shan Zhen, Xue, Qing Ying   +2 more
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Introduction to Hardy Spaces

International Journal of Theoretical Physics, 2003
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A Generalization of the Hardy Spaces

Canadian Journal of Mathematics, 1964
The Hardy spaces for right half-planes, , σ real, 1 ≤ p ≤ ∞, are defined to consist of all those functions f(s), holomorphic for Re s > σ, for which μp(f, x) exists and is bounded for x > σ, whereThese spaces have been studied extensively (see, for example, 3, Chapter 8, and 2, §19.1).
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On Multipliers in Hardy Spaces

Ukrainian Mathematical Journal, 2001
Let \(M_q\) be the Banach space of multipliers in the Hardy space \(H_q ...
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Hardy space and Bergman space on the Octonions

Approximation Theory and its Applications, 2000
Summary: Square-integrable octonion-valued function spaces on \(\mathbb{R}^3\) and \(\mathbb{R}^7\) are decomposed into the direct sum of octonion Hardy and conjugate Hardy spaces, and square-integrable octonion function spaces on the upper half spaces \(\mathbb{R}^4_+\) and \(\mathbb{R}^8_+\) are decomposed into infinity direct sum of subspaces in ...
Peng, Lizhong, Zhao, Jiman
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Martingale Orlicz‐Hardy spaces

Mathematische Nachrichten, 2012
AbstractThe purpose of this paper is to introduce five martingale Orlicz‐Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz‐Hardy spaces and the duality, namely, the dual of martingale Orlicz‐Hardy spaces are generalized martingale Campanato spaces.
Miyamoto, Takashi, Nakai, Eiichi, Sadasue, Gaku   +2 more
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Sampling Eigenvalues in Hardy Spaces

SIAM Journal on Numerical Analysis, 2007
In this work we extend the sampling method to compute eigenvalues of singular non-self-adjoint Sturm-Liouville problems in the presence of a continuous spectrum. We first show that the characteristic function, whose zeros are the eigenvalues, belongs to a Hardy space, and then develop a new sampling formula for its reconstruction.
Amin Boumenir, Vu Kim Tuan
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Hardy Spaces and Beurling Algebras

Journal of the London Mathematical Society, 1989
The author introduces the spaces \(A^ p\) and \(B^ p\), which have previously been considered by Chen and Lau on the line, on \({\mathbb{R}}^ n\). Let \(B(x,R)=\{y\in {\mathbb{R}}^ n| | x-y|
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The Hardy Spaces

1998
In this chapter we study various properties of the spacesH 1 H 2 andH ∞in preparation for our study of Toeplitz operators in the following chapter. Due to the availability of several excellent accounts of this subject (see Notes), we do not attempt a comprehensive treatment and proceed in the main using the techniques which we have already introduced.
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