On démontre que l'opérateur de Hankel associé au projecteur de Szegö sur la boule unité s'étend continûment à l'espace de Hardy si et seulement si b est à oscillation moyenne logarithmique sur la sphère unité.
We prove that the Hankel operator associated to the Szegö projection on the unit ball is bounded on the Hardy space if and only if its symbol b has logarithmic mean oscillation on the unit sphere.
Accepté le :
Publié le :
Aline Bonami 1 ; Sandrine Grellier 1 ; Benoît F. Sehba 2
@article{CRMATH_2007__344_12_749_0, author = {Aline Bonami and Sandrine Grellier and Beno{\^\i}t F. Sehba}, title = {Boundedness of {Hankel} operators on $ {\mathcal{H}}^{1}({\mathbb{B}}^{n})$}, journal = {Comptes Rendus. Math\'ematique}, pages = {749--752}, publisher = {Elsevier}, volume = {344}, number = {12}, year = {2007}, doi = {10.1016/j.crma.2007.05.004}, language = {en}, }
TY - JOUR AU - Aline Bonami AU - Sandrine Grellier AU - Benoît F. Sehba TI - Boundedness of Hankel operators on $ {\mathcal{H}}^{1}({\mathbb{B}}^{n})$ JO - Comptes Rendus. Mathématique PY - 2007 SP - 749 EP - 752 VL - 344 IS - 12 PB - Elsevier DO - 10.1016/j.crma.2007.05.004 LA - en ID - CRMATH_2007__344_12_749_0 ER -
Aline Bonami; Sandrine Grellier; Benoît F. Sehba. Boundedness of Hankel operators on $ {\mathcal{H}}^{1}({\mathbb{B}}^{n})$. Comptes Rendus. Mathématique, Volume 344 (2007) no. 12, pp. 749-752. doi : 10.1016/j.crma.2007.05.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.05.004/
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