Transplantation operators and Cesàro operators for the Hankel transform

• Autorzy: Yuichi Kanjin
• Języki publikacji: EN

Abstrakty

EN

The transplantation operators for the Hankel transform are considered. We prove that the transplantation operator maps an integrable function under certain conditions to an integrable function. As an application, we obtain the L¹-boundedness and H¹-boundedness of Cesàro operators for the Hankel transform.

Kategorie tematyczne

• 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 42A50: Conjugate functions, conjugate series, singular integrals
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 1
• Strony: 29-45

Daty

wydano

2006

Twórcy

autor

Yuichi Kanjin

• Mathematics Section, Division of Innovative Technology and Science, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa 920-1192, Japan

Identyfikatory

DOI

10.4064/sm174-1-3