Universal Taylor series

Vassili Nestoridis

Displaying similar documents to “Universal Taylor series”

On the Picard property of lacunary power series

M. Weiss, G. Weiss (1963)

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Transcendence of certain infinite sums involving rational functions

Marian Genčev (2007)

Acta Mathematica Universitatis Ostraviensis

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A cheaper Swiss cheese

T. Körner (1986)

Studia Mathematica

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On higher differences. Nota II

S. C. Chakrabarti (1954)

Rendiconti del Seminario Matematico della Università di Padova

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Two-parameter Hardy-Littlewood inequality and its variants

Chang-Pao Chen, Dah-Chin Luor (2000)

Studia Mathematica

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Let s* denote the maximal function associated with the rectangular partial sums $s_{m n} (x, y)$ of a given double function series with coefficients $c_{j k}$ . The following generalized Hardy-Littlewood inequality is investigated: ${| | s * | |}_{p, μ} \leq C_{p, α, β} {Σ_{j = 0}^{\infty} Σ_{k = 0}^{\infty} {(j ̅)}^{p - α - 2} {(k ̅)}^{p - β - 2} {| c_{j k} |}^{p}}^{1 / p}$ , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on $c_{j k}$ and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...

Irrational rapidly convergent series

Jaroslav Hančl (2002)

Rendiconti del Seminario Matematico della Università di Padova

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An expansion theorem for nonanalytic functions in several complex variables.

Mario O. González (1973)

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