[Les espaces de Besov et les mesures de Carleson dans la boule]
Utilisant les inclusions dans les espaces de Lebesgue à l'aide des dérivées radiales nous définissons les mesures de Carleson et les mesures de Carleson évanescentes dans le cadre des espaces de Besov de la boule unité de
Carleson and vanishing Carleson measures for Besov spaces on the unit ball of
Accepté le :
Publié le :
H. Turgay Kaptanoğlu 1
@article{CRMATH_2006__343_7_453_0, author = {H. Turgay Kaptano\u{g}lu}, title = {Besov spaces and {Carleson} measures on the ball}, journal = {Comptes Rendus. Math\'ematique}, pages = {453--456}, publisher = {Elsevier}, volume = {343}, number = {7}, year = {2006}, doi = {10.1016/j.crma.2006.09.001}, language = {en}, }
H. Turgay Kaptanoğlu. Besov spaces and Carleson measures on the ball. Comptes Rendus. Mathématique, Volume 343 (2006) no. 7, pp. 453-456. doi : 10.1016/j.crma.2006.09.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.09.001/
[1] Carleson measures for analytic Besov spaces, Rev. Mat. Iberoamericana, Volume 43 (1991), pp. 443-510
[2] Some subclasses of BMOA and their characterization in terms of Carleson measures, Rocky Mountain J. Math., Volume 26 (1996), pp. 485-506
[3] Holomorphic Sobolev spaces on the ball, Dissertationes Math., Volume 276 (1986) (57 pp)
[4] Carleson type conditions and weighted inequalities for harmonic functions, Osaka J. Math., Volume 39 (2002), pp. 945-962
[5] Composition Operators on Spaces of Analytic Functions, CRC, Boca Raton, 1995
[6] Theory of Bergman Spaces, Springer, New York, 2000
[7] Besov spaces and Bergman projections on the ball, C. R. Math. Acad. Sci. Paris, Ser. I, Volume 335 (2002), pp. 729-732
[8] Bergman projections on Besov spaces on balls, Illinois J. Math., Volume 49 (2005), pp. 385-403
[9] Embedding theorems for spaces of analytic functions via Khinchine's inequality, Michigan Math. J., Volume 40 (1993), pp. 333-358
[10] Carleson measures and multipliers for Dirichlet spaces, J. Funct. Anal., Volume 169 (1999), pp. 148-163
[11] Carleson type measure characterization of
[12] Operator Theory in Function Spaces, Dekker, New York, 1990
[13] Spaces of Holomorphic Functions in the Unit Ball, Springer, New York, 2005
Cité par Sources :
Commentaires - Politique
Vous devez vous connecter pour continuer.
S'authentifier