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Essential norms of Toeplitz operators on Bergman-Hardy spaces on the unit disk
, 2000 Artur Michalak
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On Hankel operators on Hardy and Bergman spaces and related questions [PDF]
, 2000 Aline Bonami +2 more
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Powers of the Szegö kernel and Hankel operators on Hardy spaces
, 1999 Aline Bonami +2 more
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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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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) .
Wade Ramey +2 more
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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) .
Wade Ramey +2 more
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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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Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces
Acta Mathematica Sinica, English Series, 2007In this paper, the authors prove that if Ω satisfies a class of the integral Dini condition, then the parametrized area integral $$ \mu ^{\rho }_{{\Omega ,S}} $$ is a bounded operator from the Hardy space H 1(ℝ n
Shanzhen Lu, Yong Ding, Qingying Xue
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Annali di Matematica Pura ed Applicata, 1984
We prove direct and converse theorems of approximation for distributions in the Hardy spaces Hp ...
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We prove direct and converse theorems of approximation for distributions in the Hardy spaces Hp ...
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Indiana University Mathematics Journal, 2014
We develop the theory of variable exponent Hardy spaces Hp(·). We give equivalent definitions in terms of maximal operators that are analogous to the classical theory. We also show that Hp(·) functions have an atomic decomposition including a “finite” decomposition; this decomposition is more like the decomposition for weighted Hardy spaces due to ...
David Cruz-Uribe, Daniel Wang
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We develop the theory of variable exponent Hardy spaces Hp(·). We give equivalent definitions in terms of maximal operators that are analogous to the classical theory. We also show that Hp(·) functions have an atomic decomposition including a “finite” decomposition; this decomposition is more like the decomposition for weighted Hardy spaces due to ...
David Cruz-Uribe, Daniel Wang
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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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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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