Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1

• Autorzy: Elijah Liflyand , Akihiko Miyachi
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^{p}$, 0 < p < 1, on the real line are proved. Two related negative results are also given.

Kategorie tematyczne

• 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 194
• Numer: 3
• Strony: 279-292

Daty

wydano

2009

Twórcy

autor

Elijah Liflyand

• Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

autor

Akihiko Miyachi

• Department of Mathematics, Tokyo Woman's Christian University, Zempukuji, Suginami-ku, Tokyo 167-8585, Japan

Identyfikatory

DOI

10.4064/sm194-3-4