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Subjects
32-XX Several complex variables and analytic spaces
32Axx Holomorphic functions of several complex variables
32A35 $H^{p}$ -spaces, Nevanlinna spaces

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Displaying 1 – 3 of 3

Non-attainable boundary values of H∞ functions.

Boris Korenblum, John E. McCarthy (1993)

Extracta Mathematicae

Nonfactorization theorems for Hardy and Bergman spaces on bounded symmetric domains

Tomasz Wolniewicz (1987)

Studia Mathematica

Norm and Taylor coefficients estimates of holomorphic functions in balls

Jacob Burbeam, Do Young Kwak (1991)

Annales Polonici Mathematici

A classical result of Hardy and Littlewood states that if $f (z) = \sum_{m = 0}^{\infty} a_{m} z^{m}$ is in $H^{p}$ , 0 < p ≤ 2, of the unit disk of ℂ, then $\sum_{m = 0}^{\infty} {(m + 1)}^{p - 2} {| a_{m} |}^{p} \leq c_{p} ∥ f ∥_{p}^{p}$ where $c_{p}$ is a positive constant depending only on p. In this paper, we provide an extension of this result to Hardy and weighted Bergman spaces in the unit ball of $ℂ^{n}$ , and use this extension to study some related multiplier problems in $ℂ^{n}$ .

Currently displaying 1 – 3 of 3

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