Zobrazeno 1 - 10
of 71 051
pro vyhledávání: '"P Bergman"'
In this paper, we use the non-increasing rearrangement of ${\rm IDA}$ function with respect to a suitable measure to characterize the asymptotic behavior of the singular values sequence $\{s_n(H_f)\}_n$ of Hankel operators $H_f$ acting on a large cla
Externí odkaz:
http://arxiv.org/abs/2410.20082
This article concerns the face enumeration of augmented Bergman complexes of matroids, introduced by Braden, Huh, Matherne, Proudfoot and Wang. We prove that the augmented Bergman complex of any matroid admits a convex ear decomposition and deduce th
Externí odkaz:
http://arxiv.org/abs/2410.08812
In this paper, we characterize Bounded Mean Oscillation (BMO) and establish their connection with Hankel operators on weighted Bergman spaces over tubular domains. By utilizing the space BMO, we provide a new characterization of Bloch spaces on tubul
Externí odkaz:
http://arxiv.org/abs/2409.20265
Autor:
Eskandari, Setareh, Perälä, Antti
We characterize the boundedness of Hankel forms and Hankel operators induced by measures on weighted Bergman spaces, where the weights satisfy an upper-doubling condition. We also characterize $A^p_\omega$ Hankel measures for $p\leq 2$. The proofs le
Externí odkaz:
http://arxiv.org/abs/2409.17709
This article deals with functions with a prefixed range and their inclusion in Hardy and weighted Bergman spaces. This idea was originally introduced by Hansen for Hardy spaces, and it was recently taken into weighted Bergman spaces by Karafyllia and
Externí odkaz:
http://arxiv.org/abs/2409.09150
We study quantum harmonic analysis (QHA) on the Bergman space $\mathcal{A}^2(\mathbb{B}^n)$ over the unit ball in $\mathbb{C}^n$. We formulate a Wiener's Tauberian theorem, and characterizations of the radial Toeplitz algebra over $\mathcal{A}^2(\mat
Externí odkaz:
http://arxiv.org/abs/2410.23110
Autor:
Fu, Guangyang, Zhou, Jiang
In this paper, we discuss hyponormal block Toeplitz operators $T_{\Phi}$ over the vector-valued weighted Bergman space $A_\alpha^2\left(\mathbb{C}^n\right)$. And two conditions about hyponormal block Toeplitz operators $T_{\Phi}$ on $A_\alpha^2\left(
Externí odkaz:
http://arxiv.org/abs/2410.20669
Autor:
Harrington, Phillip S.
Generalizing a result of Berndtsson and Charpentier, we provide sufficient conditions for $L^2$ Sobolev regularity of the Bergman projection acting on $L^2$ sections of a holomorphic line bundle restricted to a relatively compact domain with Lipschit
Externí odkaz:
http://arxiv.org/abs/2410.12715
Autor:
Straube, Emil J.
Let $\Omega$ be a smooth bounded pseudoconvex domain in $\mathbb{C}^{n}$. It is shown that for $0\leq q\leq n$, $s\geq 0$, the embedding $j_{q}: dom(\overline{\partial})\cap dom(\overline{\partial}^{*}) \hookrightarrow L^{2}_{(0,q)}(\Omega)$ is conti
Externí odkaz:
http://arxiv.org/abs/2410.09996
Contragenic functions are defined to be reduced-quaternion-valued harmonic functions which are orthogonal to all monogenic and antimonogenic functions in the $L^2$ norm of a given domain. The parallelism between the spaces of contragenic functions in
Externí odkaz:
http://arxiv.org/abs/2410.03623