Maximal operators of Fejér means of double Vilenkin-Fourier series

• Autorzy: István Blahota , György Gát , Ushangi Goginava
• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to prove that the maximal operator $σ₀*: = supₙ|σ_{n,n}|$ of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space $H_{1/2}$ to the space weak-$L_{1/2}$.

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: 2007
• Tom: 107
• Numer: 2
• Strony: 287-296

Daty

wydano

2007

Twórcy

autor

István Blahota

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

autor

György Gát

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

autor

Ushangi Goginava

• Department of Mechanics and Mathematics, Tbilisi State University, Chavvadze Str. 1, Tbilisi 0128, Georgia

Identyfikatory

DOI

10.4064/cm107-2-8