Smooth pointwise multipliers of modulation spaces
Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space Msp,q(ℝd), whenever r > |s...
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| Format: | Article |
| Language: | English |
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Sciendo
2012-05-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/v10309-012-0021-8 |
| _version_ | 1811328292182032384 |
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| author | Narimani Ghassem |
| author_facet | Narimani Ghassem |
| author_sort | Narimani Ghassem |
| collection | DOAJ |
| description | Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space Msp,q(ℝd), whenever r > |s| + d |
| first_indexed | 2024-04-13T15:22:42Z |
| format | Article |
| id | doaj.art-d1caa8c1aedd4a0886ac82e32ad2788e |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:22:42Z |
| publishDate | 2012-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-d1caa8c1aedd4a0886ac82e32ad2788e2022-12-22T02:41:37ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-05-0120131732810.2478/v10309-012-0021-8Smooth pointwise multipliers of modulation spacesNarimani Ghassem0Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil 56199-11367, IranLet 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space Msp,q(ℝd), whenever r > |s| + dhttps://doi.org/10.2478/v10309-012-0021-8pointwise multipliersmodulation spacesamalgam spacesbessel potential spaces |
| spellingShingle | Narimani Ghassem Smooth pointwise multipliers of modulation spaces Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica pointwise multipliers modulation spaces amalgam spaces bessel potential spaces |
| title | Smooth pointwise multipliers of modulation spaces |
| title_full | Smooth pointwise multipliers of modulation spaces |
| title_fullStr | Smooth pointwise multipliers of modulation spaces |
| title_full_unstemmed | Smooth pointwise multipliers of modulation spaces |
| title_short | Smooth pointwise multipliers of modulation spaces |
| title_sort | smooth pointwise multipliers of modulation spaces |
| topic | pointwise multipliers modulation spaces amalgam spaces bessel potential spaces |
| url | https://doi.org/10.2478/v10309-012-0021-8 |
| work_keys_str_mv | AT narimanighassem smoothpointwisemultipliersofmodulationspaces |