Schatten class generalized Toeplitz operators on the Bergman space [PDF]
, 2021 summary:Let $\mu $ be a finite positive measure on the unit disk and let $j\geq 1$ be an integer. D. Suárez (2015) gave some conditions for a generalized Toeplitz operator $T_{\mu }^{(j)}$ to be bounded or compact.
Xu, Chunxu, Yu, Tao
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Majorization and domination in the Bergman space [PDF]
Proceedings of the American Mathematical Society, 1993 Let f f and g
Korenblum, Boris, Richards, Kendall
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The Restriction Operator on Bergman Spaces [PDF]
The Journal of Geometric Analysis, 2019 Reference to previous work on restriction operators is ...
Debraj Chakrabarti, Sönmez Şahutoğlu
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On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator
Journal of Function Spaces, 2017 Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space.
Yucheng Li, Hao Chen, Wenhua Lan
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Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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Local rigidity of infinite-dimensional Teichmüller spaces [PDF]
, 2006 This paper presents a rigidity theorem for infinite-dimensional Bergman spaces of hyperbolic Riemann surfaces, which states that the Bergman space $A^{1}(M)$, for such a Riemann surface $M$, is isomorphic to the Banach space of summable sequence, $l^{1}$.
Fletcher, A. (Alastair)
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Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Geophysical Monograph Series, Page 27-82., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm +2 more
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Interpolating sequences for the Bergman space. [PDF]
Michigan Mathematical Journal, 1994 The main results of the paper. Theorem A. Suppose \(A = \{a_ n\}\) is a sequence of interpolation for \(L^ 2_ a (\mathbb{D})\) -- the Bergman Space. Then there exists a unique sequence \(\{t_ n\}\) in \(L^ 2_ a (\mathbb{D})\) such that the kernel function \(K_ A (z,w)\) admits the following partial fraction expansion \[ K_ A (z,w) = (1-z \overline w)^{-
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The Duals of Harmonic Bergman Spaces [PDF]
Proceedings of the American Mathematical Society, 1990 In this paper we show that for Ω \Omega
Coffman, Charles V., Cohen, Jonathan
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Composition Operator on Bergman-Orlicz Space
Journal of Inequalities and Applications, 2009 Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as ...
Jiang Zhijie, Cao Guangfu
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