On the theorem of F. Riesz in variable Lebesgue space
The aim of present paper is to introduce variable exponent bounded Riesz p(⋅)-variation and describe variable exponent Sobolev space W1,p(⋅). Keywords: Variable Lebesgue space, Riesz p-variation, Sobolev W1,p(⋅) space
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-05-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216000131 |
| Summary: | The aim of present paper is to introduce variable exponent bounded Riesz p(⋅)-variation and describe variable exponent Sobolev space W1,p(⋅). Keywords: Variable Lebesgue space, Riesz p-variation, Sobolev W1,p(⋅) space |
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| ISSN: | 2346-8092 |