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Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators.
- Source :
-
Integral Transforms & Special Functions . Feb2021, Vol. 32 Issue 2, p113-133. 21p. - Publication Year :
- 2021
-
Abstract
- In this paper, some basic results and notations related to Lebedev–Skalskaya transforms (LS-transforms) are introduced and then estimates of translation and convolution operators associated to LS-transform are obtained. Continuity of LS-transforms on Lebesgue space as well as on function spaces S β , k and G α , k are discussed. Pseudo-differential operators in terms of LS-transforms are defined and their integral representations have been studied in various ways. Moreover, their estimates in Lebesgue space are obtained. At the end, some applications have been discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PSEUDODIFFERENTIAL operators
*FUNCTION spaces
*INTEGRAL representations
Subjects
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 149693851
- Full Text :
- https://doi.org/10.1080/10652469.2020.1808891