Square-like functions generated by the Laplace-Bessel differential operator

Keles, Seyda; Bayrakci, SİMTEN

doi:10.1186/1687-1847-2014-281

Square-like functions generated by the Laplace-Bessel differential operator

Keles S., Bayrakci S.

Advances in Difference Equations, vol.2014, no.1, 2014 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 2014 Issue: 1
Publication Date: 2014
Doi Number: 10.1186/1687-1847-2014-281
Journal Name: Advances in Difference Equations
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Keywords: square functions, generalized translation, wavelet transform, Calderon reproducing formula, CALDERON-REPRODUCING FORMULA, SOBOLEV THEOREM, TRANSFORMS, POTENTIALS, SPACES, LINE
Akdeniz University Affiliated: Yes

Abstract

© 2014, Kele¿ and Bayrakç¿; licensee Springer.We introduce a wavelet-type transform associated with the Laplace-Bessel differential operator [InlineEquation not available: see fulltext.] and the relevant square-like functions. An analogue of the Calderón reproducing formula and the [InlineEquation not available: see fulltext.] boundedness of the square-like functions are obtained. MSC:47G10, 42C40, 44A35.