The weak type inequality for the Walsh system

• Autorzy: Ushangi Goginava
• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to prove that the maximal operator $σ^{#}$ is bounded from the Hardy space $H_{1/2}$ to weak-$L_{1/2}$ and is not bounded from $H_{1/2}$ to $L_{1/2}$.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 1
• Strony: 35-48

Daty

wydano

2008

Twórcy

autor

Ushangi Goginava

• Department of Mechanics and Mathematics, Tbilisi State University, Chavchavadze St. 1, Tbilisi 0128, Georgia

Identyfikatory

DOI

10.4064/sm185-1-2