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
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| Format: | Article |
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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 |
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doaj-36b4fb210f6b40319bedcbc2d91c0e072020-11-25T00:08:44ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922016-05-0117015661On the theorem of F. Riesz in variable Lebesgue spaceGeorge Kakochashvili0Shalva Zviadadze1Corresponding author.; Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 13, University St., Tbilisi, 0143, GeorgiaFaculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 13, University St., Tbilisi, 0143, GeorgiaThe 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(⋅) spacehttp://www.sciencedirect.com/science/article/pii/S2346809216000131 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
George Kakochashvili Shalva Zviadadze |
| spellingShingle |
George Kakochashvili Shalva Zviadadze On the theorem of F. Riesz in variable Lebesgue space Transactions of A. Razmadze Mathematical Institute |
| author_facet |
George Kakochashvili Shalva Zviadadze |
| author_sort |
George Kakochashvili |
| title |
On the theorem of F. Riesz in variable Lebesgue space |
| title_short |
On the theorem of F. Riesz in variable Lebesgue space |
| title_full |
On the theorem of F. Riesz in variable Lebesgue space |
| title_fullStr |
On the theorem of F. Riesz in variable Lebesgue space |
| title_full_unstemmed |
On the theorem of F. Riesz in variable Lebesgue space |
| title_sort |
on the theorem of f. riesz in variable lebesgue space |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2016-05-01 |
| description |
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 |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809216000131 |
| work_keys_str_mv |
AT georgekakochashvili onthetheoremoffrieszinvariablelebesguespace AT shalvazviadadze onthetheoremoffrieszinvariablelebesguespace |
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1725414806565945344 |