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Strong summability theorems for H p (Δ d )

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Abstract

We prove that certain means of the (C,α,…,α)-means (α=1/p−1) of the d-dimensional trigonometric Fourier series are uniformly bounded operators from the Hardy space H p to H p (1≦p≦2). As a consequence we obtain strong summability theorems concerning (C,α,…,α)-means.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze str. 1, Tbilisi, 0128, Georgia

    Ushangi Goginava & Larry Gogoladze

Authors
  1. Ushangi Goginava
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  2. Larry Gogoladze
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Correspondence to Ushangi Goginava.

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Goginava, U., Gogoladze, L. Strong summability theorems for H p (Δ d ). Acta Math Hung 138, 259–266 (2013). https://doi.org/10.1007/s10474-012-0235-2

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  • DOI: https://doi.org/10.1007/s10474-012-0235-2

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