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pro vyhledávání: '"Békollè, David"'
In this work, we extend the theory of B\'ekoll\`e-Bonami $B_p$ weights. Here we replace the constant $p$ by a non-negative measurable function $p(\cdot),$ which is log-H\"older continuous function with lower bound $1$. We show that the Bergman projec
Externí odkaz:
http://arxiv.org/abs/2303.07553
Autor:
Bekolle, David
Th.--Sci.--Orléans, 1984. N°: 191.
Extr. en partie de Studia mathématica. LXXI, 1982, 305-323 et des Comptes rendus hebdomadaires des séances de l'Académie des sciences de Paris. Série I, 294, 1982, 395-397.
Extr. en partie de Studia mathématica. LXXI, 1982, 305-323 et des Comptes rendus hebdomadaires des séances de l'Académie des sciences de Paris. Série I, 294, 1982, 395-397.
Externí odkaz:
http://catalogue.bnf.fr/ark:/12148/cb361066710
We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two general weighted Lebesgue classes on the unit ball of $\mathbb{C}^N$ in terms of B\'ekoll\'e
Externí odkaz:
http://arxiv.org/abs/2107.07180
We study various asymptotic approximations of Good's special functions arising in atomic physics. These special functions are situated beyond Anger's functions to which they are closely related. Our major tool is the method of the stationary phase.
Externí odkaz:
http://arxiv.org/abs/2105.08366
In this paper, we study the boundedness and the compactness of the little Hankel operators $h_b$ with operator-valued symbols $b$ between different weighted vector-valued Bergman spaces on the open unit ball $\mathbb{B}_n$ in $\mathbb{C}^n.$ More pre
Externí odkaz:
http://arxiv.org/abs/2012.10934
Very recently, E. H. Lieb and J. P. Solovej stated a conjecture about the constant of embedding between two Bergman spaces of the upper-half plane. A question in relation with a Werhl-type entropy inequality for the affine $AX+B$ group. More precisel
Externí odkaz:
http://arxiv.org/abs/2010.14809
For $\mathbb B^n$ the unit ball of $\mathbb C^n$, we consider Bergman-Orlicz spaces of holomorphic functions in $L^\Phi_\alpha(\mathbb B^n)$, which are generalizations of classical Bergman spaces. We obtain atomic decomposition for functions in the B
Externí odkaz:
http://arxiv.org/abs/1805.03754
Publikováno v:
In Applied Mathematics and Computation 15 November 2022 433
Autor:
Békollé, David, Sehba, Benoît F.
In this note, we obtain a full characterization of radial Carleson measures for the Hilbert-Hardy space on tube domains over symmetric cones. For large derivatives, we also obtain a full characterization of the measures for which the corresponding em
Externí odkaz:
http://arxiv.org/abs/1710.11237
Starting from an adapted Whitney decomposition of tube domains in $\C^n$ over irreducible symmetric cones of $\R^n,$ we prove an atomic decomposition theorem in mixed norm weighted Bergman spaces on these domains. We also characterize the interpolati
Externí odkaz:
http://arxiv.org/abs/1703.07862