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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-09-01
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Series: | Arabian Journal of Mathematics |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/s40065-019-00268-8 |