Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 [PDF]
Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
YAMAMOTO, Takanori
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Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions (2) Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 First published in 2009 in Japanese as Seisoku Kansu no nasu Hiruberuto kukan by Iwanami Shoten, Publishers, Tokyo. [PDF]
Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions (2) Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 First published in 2009 in Japanese as Seisoku Kansu no nasu Hiruberuto kukan by Iwanami Shoten, Publishers, Tokyo.identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
YAMAMOTO, Takanori
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Bloch‐type space of temperature functions on a finite cylinder
Journal of Function Spaces, Volume 5, Issue 3, Page 287-297, 2007., 2007 We define the Bloch‐type space BT as the linear space of temperature functions on the cylinder ST=S1×(0,T) such that sup(x,t)∈Tt| ∂u∂t(x,t) |<∞, ΩT = [0,2] × (0, T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT, dxdt).
Marcos López-García, Hans Triebel
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Bergman spaces of temperature functions on a cylinder
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 19, Page 1193-1213, 2003., 2003 We define the weighted Bergman space bβp(ST) consisting of temperature functions on the cylinder ST = S1 × (0, T) and belonging to Lp(ΩT, tβdxdt), where ΩT = (0, 2) × (0, T). For β > −1 we construct a family of bounded projections of Lp(ΩT, tβdxdt) onto bβp(ST).
Marcos López-García
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Duality by reproducing kernels
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 6, Page 327-395, 2003., 2003 Let A be a determined or overdetermined elliptic differential operator on a smooth compact manifold X. Write 𝒮A(𝒟) for the space of solutions of the system Au = 0 in a domain 𝒟⋐X. Using reproducing kernels related to various Hilbert structures on subspaces of 𝒮A(𝒟), we show explicit identifications of the dual spaces.
A. Shlapunov, N. Tarkhanov
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Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
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Geometric properties of composition operators belonging to Schatten classes
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 4, Page 239-248, 2001., 2001 We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
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Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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On a class of shift-invariant subspaces of the Drury-Arveson space
Concrete Operators, 2018 In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d.
Arcozzi Nicola, Levi Matteo
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On generalized weighted composition operators acting between Fock-type spaces
, 2022 In this paper, we study essential norm and Schatten class membership of the generalized weighted composition operators acting on Fock-type spaces.
Worku, Mafuz
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