A multiplier theorem for the Hankel transform.
Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).
Rafal Kapelko (1998)
Revista Matemática Complutense
Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).
William Connett, Alan Schwartz (1974)
Studia Mathematica
Helmut Bölcskei (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Gustaf Gripenberg (1995)
Studia Mathematica
James E. Daly (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Juan H. Arredondo, Manuel Bernal, Maria G. Morales (2025)
Czechoslovak Mathematical Journal
The paper is concerned with integrability of the Fourier sine transform function when , where is the space of bounded variation functions vanishing at infinity. It is shown that for the Fourier sine transform function of to be integrable in the Henstock-Kurzweil sense, it is necessary that . We prove that this condition is optimal through the theoretical scope of the Henstock-Kurzweil integration theory.
Antoine Delcroix (2008)
Publications de l'Institut Mathématique
S. Lewanowicz (1991)
Applicationes Mathematicae
Abdallah N. Dabboucy, H.W. Davis (1971)
Mathematica Scandinavica
Guoen Hu, Dachun Yang, Dongyong Yang (2009)
Czechoslovak Mathematical Journal
Let be a nonnegative Radon measure on which only satisfies for all , , with some fixed constants and In this paper, a new characterization for the space of Tolsa in terms of the John-Strömberg sharp maximal function is established.
Wim Sweldens, Maria Girardi (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
A. I. Stepanets (1989)
Banach Center Publications
P. Chandra (1972)
Matematički Vesnik
Leindler, Laszlo (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Bezubik, Agata, Strasburger, Aleksander (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Yiyu Liang, Dachun Yang, Wen Yuan, Yoshihiro Sawano, Tino Ullrich (2013)
Dimitriy Bilyk, Loukas Grafakos (2006)
Collectanea Mathematica
Distributional estimates for the Carleson operator acting on characteristic functions of measurable sets of finite measure were obtained by Hunt. In this article we describe a simple method that yields such estimates for general operators acting on one or more functions. As an application we discuss how distributional estimates are obtained for the linear and bilinear Hilbert transform. These distributional estimates show that the square root of the bilinear Hilbert transform is exponentially lntegrable...
Mercer, A.McD. (1991)
International Journal of Mathematics and Mathematical Sciences
Lucien Chevalier (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Bernd Droste (1983)
Manuscripta mathematica