This paper deals with the summability of conjugate Laplace series in any dimension. In particular, a M. Riesz type inequality is proved and criteria for the convergence of relevant Cesaro means in Lp-norm are given. The Fourier character of conjugate Laplace series is investigated too.

The convergence in Lp-norm of conjugate Laplace series

CARAMUTA, PIETRO;CIALDEA, Alberto;
2016-01-01

Abstract

This paper deals with the summability of conjugate Laplace series in any dimension. In particular, a M. Riesz type inequality is proved and criteria for the convergence of relevant Cesaro means in Lp-norm are given. The Fourier character of conjugate Laplace series is investigated too.
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/124932
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