SU\G(𝔸)/K·U

On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series

Wo-Sang Young

Type: Article

Publication Date: 1974-06-01

Citations: 8

DOI: https://doi.org/10.2307/2040436

Abstract

It is shown that partial sums of Walsh-Kaczmarz-Fourier series of functions in the Orlicz class $L{({\log ^ + }L)^2}$ converge a.e. The proof utilizes an estimate of P. Sjölin on the partial sums of the usual Walsh-Fourier series.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

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+ On the maximal operator of the Marcinkiewicz--Fejér means of double Walsh--Kaczmarz--Fourier series 2009 Ушанги Гогинава
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+ On the Fej&amp;#x0E9;r Kernel with Respect to Generalized Orthonormal System of p-series Field in the Kaczmarz Rearrangement 2009 Chuanzhou Zhang
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+ PDF Chat On (H_pq, L_pq)-type inequality of maximal operator of Marcinkiewicz-Fejér means of double Fourier series with respect to the Kaczmarz system 2006 György Gát
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+ PDF Chat The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Kaczmarz system 2009 Ушанги Гогинава
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+ A Remarkable Series of Orthogonal Functions (I) 1932 R. E. A. C. Paley
+ PDF Chat On rearrangements of Walsh-Fourier series and Hardy-Littlewood type maximal inequalities 1974 Wo-Sang Young
+ MAXIMAL INEQUALITIES AND ALMOST-EVERYWHERE CONVERGENCE. 1973 Wo-Sang Victoria Young
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