On compact and bounded embedding in variable exponent Sobolev spaces and its applications

Abstract For a weighted variable exponent Sobolev space, the compact and bounded embedding results are proved. For that, new boundedness and compact action properties are established for Hardy’s operator and its conjugate in weighted variable exponent Lebesgue spaces. Furthermore, the obtained resul...

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Bibliographic Details
Main Authors: Farman Mamedov, Sayali Mammadli, Yashar Shukurov
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:http://link.springer.com/article/10.1007/s40065-019-00268-8