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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Weighted reproducing kernels in Bergman spaces.
Michigan Mathematical Journal, 1994 A major inspiration for this paper is the factorization theory developed by \textit{H. Hedenmalm} [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)] for the standard Bergman space \(A^2\), and later generalized to the Bergman space \(A^2\) by \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
MacGregor, T. H., Stessin, M. I.
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Hyponormal Toeplitz operators on weighted Bergman spaces [PDF]
Integral Transforms and Special Functions, 2021 We consider operators acting on a Hilbert space that can be written as the sum of a shift and a diagonal operator and determine when the operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix. We apply this result to the Toeplitz operator with specific algebraic symbols acting on certain weighted ...
Le, Trieu, Simanek, Brian
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Toeplitz Operators on Weighted Bergman Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
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THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
Communications of the Korean Mathematical Society, 2003 Summary: We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element \(f\) in \(B^{p,r}\), there is a unique \(\widetilde{f}\) in \(B^{p,r}\) such that \(f\) is the radial derivative of \(\widetilde{f}\) and for each \(f \in \mathcal{B}^{r}(i)\), \(f\) is the radial derivative of some element of ...
Kang, Si Ho, Kim, Ja Young
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Riesz's Functions in Weighted Hardy and Bergman Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractLet μ be a finite positive Borel measure on the closed unit disc . For each a in , put where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.
Nakazi, T., Yamada, M.
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Orthogonal polynomials in weighted Bergman spaces
Journal of Approximation Theory, 2023 Let $w$ be a weight on the unit disk $\mathbb{D}$ having the form \[w(z)=|v(z)|^2\prod_{k=1}^s\left|\frac{z-a_k}{1-z\overline{a}_k}\right|^{m_k}\,,\quad m_k>-2,\ |a_k|<1,\] where $v$ is analytic and free of zeros in $\overline{\mathbb{D}}$, and let $(p_n)_{n=0}^\infty$ be the sequence of polynomials ($p_n$ of degree $n$) orthonormal over $\mathbb{
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On weighted harmonic Bergman spaces
Demonstratio Mathematica, 2008 AbstractThis paper is devoted to the investigation of the weighted Bergman harmonic ...
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A note on weighted Bergman spaces and the Cesaro Operator [PDF]
Nagoya Mathematical Journal, 2000 Let B denote the unit ball in ℂn, and dV(z) normalized Lebesgue measure on B. For α > -1, define dVα(z) = (1 - \z\2)αdV(z). Let (B) denote the space of holomorhic functions on B, and for 0 < p < ∞, let p(dVα) denote Lp(dVα) ∩ (B). In this note we characterize p(dVα) as those functions in (B) whose images under the action of a certain set of ...
Benke, George, Chang, Der-Chen
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Product-type operators from weighted Bergman spaces to Bloch-Orlicz spaces
四川大学学报. 自然科学版, 2020 By constructing some suitable test functions in weighted Bergman space, the boundedness and compactness of the product-type operators from the weighted Bergman space to the Bloch-Orlicz space are characterized in terms of the symbol functions in this ...
Chen Zhi, Jiang Zhi-Jie
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