[Sur une extension dʼune fonctionnelle bilinéaire sur aux espaces du Bochner avec une application sur la moyennisation en vitesse]
Nous examinons les conditions nécessaires et suffisantes pour quʼune fonctionelle bilinéaire continue sur , , E étant un espace de Banach séparable, peut être étendue à une fonctionnelle linaire sur . Lʼextension permet une généralisation de lʼH-distribution, qui fournit lʼamélioration dʼun résultat de moyennisation en vitesse (hétèrogène) sur le cadre pour tout .
We examine necessary and sufficient conditions under which a continuous bilinear functional B on , , E being a separable Banach space, can be continuously extended to a linear functional on . The extension enables a generalisation of the H-distribution concept, allowing us to obtain a (heterogeneous) velocity averaging result in the framework for any .
Accepté le :
Publié le :
Martin Lazar 1, 2 ; Darko Mitrović 3
@article{CRMATH_2013__351_7-8_261_0, author = {Martin Lazar and Darko Mitrovi\'c}, title = {On an extension of a bilinear functional on $ {\mathrm{L}}^{p}({\mathbf{R}}^{d})\otimes E$ to a {Bochner} space with an application to velocity averaging}, journal = {Comptes Rendus. Math\'ematique}, pages = {261--264}, publisher = {Elsevier}, volume = {351}, number = {7-8}, year = {2013}, doi = {10.1016/j.crma.2013.04.013}, language = {en}, }
TY - JOUR AU - Martin Lazar AU - Darko Mitrović TI - On an extension of a bilinear functional on $ {\mathrm{L}}^{p}({\mathbf{R}}^{d})\otimes E$ to a Bochner space with an application to velocity averaging JO - Comptes Rendus. Mathématique PY - 2013 SP - 261 EP - 264 VL - 351 IS - 7-8 PB - Elsevier DO - 10.1016/j.crma.2013.04.013 LA - en ID - CRMATH_2013__351_7-8_261_0 ER -
%0 Journal Article %A Martin Lazar %A Darko Mitrović %T On an extension of a bilinear functional on $ {\mathrm{L}}^{p}({\mathbf{R}}^{d})\otimes E$ to a Bochner space with an application to velocity averaging %J Comptes Rendus. Mathématique %D 2013 %P 261-264 %V 351 %N 7-8 %I Elsevier %R 10.1016/j.crma.2013.04.013 %G en %F CRMATH_2013__351_7-8_261_0
Martin Lazar; Darko Mitrović. On an extension of a bilinear functional on $ {\mathrm{L}}^{p}({\mathbf{R}}^{d})\otimes E$ to a Bochner space with an application to velocity averaging. Comptes Rendus. Mathématique, Volume 351 (2013) no. 7-8, pp. 261-264. doi : 10.1016/j.crma.2013.04.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.04.013/
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