On Variable Exponent Amalgam Spaces
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(.)w ;Lqv) is defined, where the local component is a weighted variable exponent Lebesgue...
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| Format: | Article |
| Language: | English |
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Sciendo
2012-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/v10309-012-0051-2 |
| _version_ | 1818308705121206272 |
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| author | Aydin İsmail |
| author_facet | Aydin İsmail |
| author_sort | Aydin İsmail |
| collection | DOAJ |
| description | We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(.)w ;Lqv) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(.)w (ℝn) and the global component is a weighted Lebesgue space Lqv (ℝn) : We investigate the properties of the spaces W(Lp(.)w ;Lqv): We also present new Hölder-type inequalities and embeddings for these spaces. |
| first_indexed | 2024-12-13T07:18:31Z |
| format | Article |
| id | doaj.art-16ff3b3fc8764d13aef75825a9a7d4a3 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T07:18:31Z |
| publishDate | 2012-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-16ff3b3fc8764d13aef75825a9a7d4a32022-12-21T23:55:28ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-12-0120352010.2478/v10309-012-0051-2On Variable Exponent Amalgam SpacesAydin İsmail0Department of Mathematics, Faculty of Arts and Sciences, Sinop UniversityWe derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(.)w ;Lqv) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(.)w (ℝn) and the global component is a weighted Lebesgue space Lqv (ℝn) : We investigate the properties of the spaces W(Lp(.)w ;Lqv): We also present new Hölder-type inequalities and embeddings for these spaces.https://doi.org/10.2478/v10309-012-0051-2variable exponent lebesgue spacesamalgam spacesembeddingfourier transform |
| spellingShingle | Aydin İsmail On Variable Exponent Amalgam Spaces Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica variable exponent lebesgue spaces amalgam spaces embedding fourier transform |
| title | On Variable Exponent Amalgam Spaces |
| title_full | On Variable Exponent Amalgam Spaces |
| title_fullStr | On Variable Exponent Amalgam Spaces |
| title_full_unstemmed | On Variable Exponent Amalgam Spaces |
| title_short | On Variable Exponent Amalgam Spaces |
| title_sort | on variable exponent amalgam spaces |
| topic | variable exponent lebesgue spaces amalgam spaces embedding fourier transform |
| url | https://doi.org/10.2478/v10309-012-0051-2 |
| work_keys_str_mv | AT aydinismail onvariableexponentamalgamspaces |