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On a Class of Functionals on a Weighted First-Order Sobolev Space on the Real Line.
- Source :
- Proceedings of the Steklov Institute of Mathematics; Mar2021, Vol. 312 Issue 1, p226-240, 15p
- Publication Year :
- 2021
-
Abstract
- Let be a Lebesgue measurable function on an interval . We find conditions on under which the mapping is a continuous linear functional on a weighted first-order Sobolev space ; we also obtain estimates for the norm of this functional in . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00815438
- Volume :
- 312
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Proceedings of the Steklov Institute of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 149946718
- Full Text :
- https://doi.org/10.1134/S0081543821010144