On the partial sums of Walsh-Fourier series

• Autorzy: George Tephnadze
• Języki publikacji: EN

Abstrakty

EN

We investigate convergence and divergence of specific subsequences of partial sums with respect to the Walsh system on martingale Hardy spaces. By using these results we obtain a relationship of the ratio of convergence of the partial sums of the Walsh series and the modulus of continuity of the martingale. These conditions are in a sense necessary and sufficient.

Kategorie tematyczne

• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 2
• Strony: 227-242

Daty

wydano

2015

Twórcy

autor

George Tephnadze

• Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze St. 1, Tbilisi 0128, Georgia
• Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden

Identyfikatory

DOI

10.4064/cm141-2-7