Convolution Algebraic Structures Defined by Hardy-Type Operators
Joint Authors
Sánchez-Lajusticia, Luis
Miana, Pedro J.
Royo, Juan J.
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
To do this, we consider some suitable kernels such that the Hardy-type operator is bounded in weighted Lebesgue spaces Lωpℝ+ for p≥1.
We also show new inequalities in these weighted Lebesgue spaces.
These results are applied to several concrete function spaces, for example, weighted Sobolev spaces and fractional Sobolev spaces defined by Weyl fractional derivation.
American Psychological Association (APA)
Miana, Pedro J.& Royo, Juan J.& Sánchez-Lajusticia, Luis. 2013. Convolution Algebraic Structures Defined by Hardy-Type Operators. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-454926
Modern Language Association (MLA)
Miana, Pedro J.…[et al.]. Convolution Algebraic Structures Defined by Hardy-Type Operators. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-454926
American Medical Association (AMA)
Miana, Pedro J.& Royo, Juan J.& Sánchez-Lajusticia, Luis. Convolution Algebraic Structures Defined by Hardy-Type Operators. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-454926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454926