Results 31 to 40 of about 284 (178)
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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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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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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Fourier representations in Bergman spaces
Journal of Mathematical Analysis and Applications, 2019 We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiener type representations of functions in Bergman spaces of such domains with respect to each of these three groups of symmetries.
Debraj Chakrabarti, Pranav Upadrashta
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On complex symmetry of composition operators on Bergman space
四川大学学报. 自然科学版, 2020 In this paper, we discuss about the necessary and sufficient conditions for the composition operators on the Bergman space, meanwhile give complex symmetric composition operators on Bergman space whose symbols are linear-fractional but not automorphic.
Hong Jun-Ying, Han Xue-Hong
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Finite-rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, 2001 Let L2=L2(D,r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I−P≥Q.
Takahiko Nakazi, Tomoko Osawa
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Sarason Conjecture on the Bergman Space [PDF]
International Mathematics Research Notices, 2016 We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach. We also present some results about two-weighted estimates for the Bergman projection.
Aleman, Alexandru +2 more
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Sustainable Materials Design With Multi‐Modal Artificial Intelligence
Advanced Science, EarlyView.Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu +8 more
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The Zero Product of Toeplitz Operators on the 2-Analytic Weighted Bergman Space
Journal of Function SpacesTwo-analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2-analytic weighted Bergman space.
Xia Wang +3 more
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Gain of Regularity in Extension Problem on Convex Domains
Journal of Function Spaces, 2015 We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type.
M. Jasiczak
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