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On some radius results for normalized analytic functions

100%

Kim Y. , Kwon E.

nr 1

51-60

We investigate some radius results for various geometric properties concerning some subclasses of the class 𝓢 of univalent functions.

Approximation numbers of composition operators on Hp

88%

Li D. , Queffélec H. , Rodríguez-Piazza L.

nr 1

give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞

A natural localization of Hardy spaces in several complex variables

88%

Putinar M. , Wolff R.

1997

tom 66

nr 1

183-201

Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop's property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.

Walsh-Marcinkiewicz means and Hardy spaces

75%

Nagy K. , Tephnadze G.

nr 8

1214-1228

The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties. With its aid we provide a necessary and sufficient condition for convergence of the Walsh-Marcinkiewicz means in terms of modulus of continuity on the Hardy space H p, and prove a strong convergence theorem for the Walsh-Marcinkiewicz means.