Results 311 to 320 of about 5,107,062 (367)

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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ON S-HARDY–LITTLEWOOD HOMOGENEOUS SPACES

International Journal of Mathematics, 1998
We study the asymptotic distribution of S-integral points on affine homogeneous spaces in the light of the Hardy–Littlewood property introduced by Borovoi and Rudnick. We introduce the S-Hardy–Littlewood property for affine homogeneous spaces defined over an algebraic number field and a finite set S of places of the base field. We work with the adelic
Morishita, Masanori, Watanabe, Takao
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Marcinkiewicz integral on hardy spaces

Integral Equations and Operator Theory, 2002
The authors prove that the Marcinkiewicz integrals with kernel satisfying \(L^1\)-Dini condition are bounded from the Hardy space \(H^1(\mathbb R^n)\) into \(L^1(\mathbb R^n)\), and that if the kernel satisfies a stronger Dini-type condition, then the corresponding Marcinkiewicz integrals are also bounded from \(H^{1,\infty}(\mathbb R^n)\) into \(L^{1,\
Ding, Yong, Lu, Shanzhen, Xue, Qingying
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Löwner Chains and Hardy Spaces

Bulletin of the London Mathematical Society, 1991
Let a family of univalent functions \(f(z,t):\mathbb{D}\to\mathbb{C}\), \(t\geq 0\), be a Löwner chain satisfying \(\dot f(z,t)=zf'(z,t)p(z,t)\) for \(z\) in the unit disc \(\mathbb{D}\), a.e. \(t\geq 0\), where \(p(z,t)\) is analytic for \(z\in\mathbb{D}\) and measurable for \(t\geq 0\) with \({\mathfrak R}[p(z,t)]\geq 0\). The symbols \(\dot f(z,t)\)
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FRAMES OF WAVELETS IN HARDY SPACE

Analysis, 1995
Summary: 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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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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Grand Morrey Spaces and Grand Hardy–Morrey Spaces on Euclidean Space

Journal of Geometric Analysis, 2023
K. Ho
semanticscholar   +1 more source

Hardy spaces

2016
Emmanuel Fricain, Javad Mashreghi
  +4 more sources

Composition and multiplication operators on the derivative Hardy space

, 2018
Caixing Gu, S. Luo
semanticscholar   +1 more source