Spectra of integration operators on weighted bergman spaces
By Alexandru Aleman, O. Constantin. 2009
75 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f9ccf2d7a57b1e841f0a4427b6012c010aad0141
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Boundedness of the Bergman projection on $L^p$ spaces with exponential weights (2013, background): “Further results along this line were obtained whenever ω is a non (necessarily) radial weight such that ω(z) (1−|z|)η belongs to some class of Bekollé weights Bp(η), p > 1, η > −1 [1, 2].”
- Integration operators between Hardy spaces on the unit ball of $\Cn$ (2013, unknown): “After the pioneering works of Aleman, Siskakis and Cima [4, 6, 7] describing the boundedness and compactness of the operator Jg in Hardy and Bergman spaces, the mentioned operator became extremely popular, being studied in many spaces of analytic functions (see [4, 5, 6, 7, 13, 27, 28] for example).”
- Bergman projection induced by radial weight. (2019, unknown): “For Littlewood-Paley estimates in the case of non-radial weight under additional regularity hypotheses, see [2, 4, 5].”
- A Volterra-type integration operator on Fock spaces (2012, unknown): “The boundedness and compactness, as well as some spectral properties (such as Schatten class membership) of Tg acting on various spaces of analytic functions of the unit disc D in C have been extensively investigated (see [2, 6] for Hardy spaces, [3, 5, 8, 17, 19] for weighted Bergman spaces, and [9”
- Small weighted Bergman spaces (2015, background): “These observations lead us to the following open questions; (1) Which are those weights such that the polynomials are dense in Aω? (2) Which are those weights such that B ⊂ Aω? Despite these and other obstacles, some progress has been achieved on the theory of weighed Bergman spaces Aω induced by no”
- Weighted Bergman spaces induced by rapidly incresing weights (2012, background): “[24] O. Constantin, Carleson embeddings and some classes of operators on weighted Bergman spaces, J. Math.”