Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Soumitra Ghara"'
Publikováno v:
Opuscula Mathematica, Vol 44, Iss 3, Pp 373-390 (2024)
For a positive integer \(m\) and a finite non-negative Borel measure \(\mu\) on the unit circle, we study the Hadamard multipliers of higher order weighted Dirichlet-type spaces \(\mathcal H_{\mu, m}\). We show that if \(\alpha\gt\frac{1}{2}\), then
Externí odkaz:
https://doaj.org/article/a0c623bd179542df88a4b64ee016f360
Publikováno v:
The Journal of Geometric Analysis. 33
We prove a local Douglas formula for higher order weighted Dirichlet-type integrals. With the help of this formula, we study the multiplier algebra of the associated higher order weighted Dirichlet-type spaces $\mathcal H_{\pmb\mu},$ induced by an $m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70d561867d7de14bf2cee2fbf6512137
https://doi.org/10.1007/s12220-023-01297-8
https://doi.org/10.1007/s12220-023-01297-8
Publikováno v:
Studia Mathematica. 265:315-341
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e3050b53a5395a1acb3893fe91d831e
https://doi.org/10.4064/sm210419-9-12
https://doi.org/10.4064/sm210419-9-12
Publikováno v:
Israel Journal of Mathematics. 247:331-360
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46987c8a81b14a5ab344bfae23ee17ac
https://doi.org/10.1007/s11856-021-2268-0
https://doi.org/10.1007/s11856-021-2268-0
We address the question of the analyticity of a rank one perturbation of an analytic operator. If $\mathscr M_z$ is the bounded operator of multiplication by $z$ on a functional Hilbert space $\mathscr H_\kappa$ and $f \in \mathscr H$ with $f(0)=0,$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67c703cf95ce649b6f9ee6c0819cccb6
http://arxiv.org/abs/2202.06433
http://arxiv.org/abs/2202.06433
Autor:
Soumitra Ghara, Surjit Kumar
Publikováno v:
Journal of Mathematical Analysis and Applications. 469:1015-1027
We show, by means of a class of examples, that if K 1 and K 2 are two positive definite kernels on the unit disc such that the multiplication by the coordinate function on the corresponding reproducing kernel Hilbert space is subnormal, then the mult
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbd57177177b87c514d7b1961e2baae1
https://doi.org/10.1016/j.jmaa.2018.09.048
https://doi.org/10.1016/j.jmaa.2018.09.048
Autor:
Gadadhar Misra, Soumitra Ghara
Publikováno v:
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology ISBN: 9783030433796
Given a pair of positive real numbers α, β and a sesqui-analytic function K on a bounded domain \(\Omega \subset \mathbb C^m\), in this paper, we investigate the properties of the sesqui-analytic function $$\displaystyle \mathbb K^{(\alpha , \beta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da9950aa080401a97d3890368717fc37
https://doi.org/10.1007/978-3-030-43380-2_11
https://doi.org/10.1007/978-3-030-43380-2_11