Convolution Operators Related to the Fourier Cosine and Kontorovich-Lebedev Transformations

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Semyon B Yakubovich (Author) FCUP; Lyubov E Britvina (Author) Other

Journal

Title: Results in Mathematics

Vol. 55

Pages: 175-197

ISSN: 1422-6383

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-GHB

DOI: 10.1007/s00025-009-0393-x

Abstract (EN): We establish boundedness properties in a two-parametric family of Lebesgue spaces for certain convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. Norm estimations in the weighted L(p)-spaces are obtained. Natural applications to the corresponding class of convolution integral equations are demonstrated. Necessary and sufficient conditions are found for the solvability of these equations in the weighted L(2)-spaces.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23