Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers

• Autorzy: I. Blahota , G. Gát
• Języki publikacji: EN

Abstrakty

EN

We prove the almost everywhere convergence of the Marcinkiewicz means of integrable functions σₙf → f for every f ∈ L¹(I²), where I is the group of 2-adic integers.

Kategorie tematyczne

• 42A24: Summability and absolute summability of Fourier and trigonometric series
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 3
• Strony: 215-222

Daty

wydano

2009

Twórcy

autor

I. Blahota

• Institute of Mathematics and Computer Science, College of Nyíregyháza, P.O. Box 166, H-4400 Nyíregyháza, Hungary

autor

G. Gát

• Institute of Mathematics and Computer Science, College of Nyíregyháza, P.O. Box 166, H-4400 Nyíregyháza, Hungary

Identyfikatory

DOI

10.4064/sm191-3-3