A simple proof of the atomic decomposition for $H^{p}(R^{n})$, 0 < p ≤ 1

J. Wilson

Displaying similar documents to “A simple proof of the atomic decomposition for $H^{p} (R^{n})$ , 0 < p ≤ 1”

Addition to the paper "On some theorems of S. Saks"

A. Alexiewicz (1958)

Studia Mathematica

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The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space

Shanzhen Lu, Dachun Yang (1992)

Studia Mathematica

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We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.

A characterization of $H^{p} (R^{n})$ in terms of atoms

Robert Latter (1978)

Studia Mathematica

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Bounded double square functions

Jill Pipher (1986)

Annales de l'institut Fourier

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We extend some recent work of S. Y. Chang, J. M. Wilson and T. Wolff to the bidisc. For $f \in L_{l o c}^{1} (R^{2})$ , we determine the sharp order of local integrability obtained when the square function of $f$ is in $L^{\infty}$ . The Calderón-Torchinsky decomposition reduces the problem to the case of double dyadic martingales. Here we prove a vector-valued form of an inequality for dyadic martingales that yields the sharp dependence on p of $C_{p}$ in $∥ f ∥_{p} \leq C_{p} ∥ S f ∥_{p}$ .

$p$ -local unconditional structure of Banach spaces

Y. Gordon (1980)

Compositio Mathematica

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The reciprocal of the beta function and $G L (n, ℝ)$ Whittaker functions

Eric Stade (1994)

Annales de l'institut Fourier

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In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself. We then apply our new formula to the study of $G L (n, ℝ)$ Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral...

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

Carsten Schütt (1982)

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$L^{2}$ estimates for pseudodifferential operators

A. Boulkhemair (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “A simple proof of the atomic decomposition for H p ( R n ) , 0 < p ≤ 1”

Displaying similar documents to “A simple proof of the atomic decomposition for $H^{p} (R^{n})$ , 0 < p ≤ 1”