Results 281 to 290 of about 25,942 (315)
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On Multipliers in Hardy Spaces
Ukrainian Mathematical Journal, 2001Let \(M_q\) be the Banach space of multipliers in the Hardy space \(H_q ...
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Annali di Matematica Pura ed Applicata, 1984
The author studies the extension of the classical Jackson-Bernstein theorems to Hardy spaces \(H^ p({\mathbb{R}}^ N ...
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The author studies the extension of the classical Jackson-Bernstein theorems to Hardy spaces \(H^ p({\mathbb{R}}^ N ...
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A Generalization of the Hardy Spaces
Canadian Journal of Mathematics, 1964The 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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Analysis Mathematica, 1994
This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
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This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
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Approximation in Hardy Spaces [PDF]
, 1992 Since the transfer function (or matrix) of a stable linear system is analytic in |z| ≥ 1, the transformation z → z −1 guarantees its analyticity in the unit disk |z| ≤ 1. In this chapter we will study approximation by polynomials and “stable” rational functions in |z| ≤ 1, using the Hardy spaces H 2 and norms. Here, due to the reciprocal transformation,
Guanrong Chen, Charles K. Chui
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International Journal of Theoretical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quaestiones Mathematicae, 2004
We summarize the results on multipliers from Hp to lq for various p and q. In some instances we provide proofs which are different from the ones in the literature. On other occasions we are able to improve results of other authors, or provide an unified treatment that does not appear in the literature.Mathematics Subject Classification (2000): 30D ...
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We summarize the results on multipliers from Hp to lq for various p and q. In some instances we provide proofs which are different from the ones in the literature. On other occasions we are able to improve results of other authors, or provide an unified treatment that does not appear in the literature.Mathematics Subject Classification (2000): 30D ...
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1991
Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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1992
In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
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In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
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