On Sjölin–Soria–Antonov type extrapolation for locally compact groups and a.e. convergence of Vilenkin–Fourier series

Autor:	G. Oniani
Rok vydání:	2020
Předmět:	General Mathematics 010102 general mathematics Hausdorff space Extrapolation 010103 numerical & computational mathematics Type (model theory) 01 natural sciences Bounded type Combinatorics Orthonormal basis Almost everywhere Locally compact space 0101 mathematics Fourier series Mathematics
Zdroj:	Acta Mathematica Hungarica. 163:429-436
ISSN:	1588-2632 0236-5294
DOI:	10.1007/s10474-020-01090-x
Popis:	A Sjolin–Soria–Antonov type extrapolation theorem for locally compact $$\sigma$$ -compact non-discrete Hausdorff groups is proved. Applying this result it is shown that the Fourier series with respect to the Vilenkin orthonormal systems on the Vilenkin groups of bounded type converge almost everywhere for functions from the class $$L {\rm log}^{+} L {\rm log}^{+} {\rm log}^{+} {\rm log}^{+} L$$ .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b906708176d6aea5bf9960cd109d18f8 https://doi.org/10.1007/s10474-020-01090-x Zobrazit plný text záznamu Full text from SpringerLink