mapping properties of the Bergman projection on the Hartogs triangle
By Debraj Chakrabarti, Yunus E. Zeytuncu. 2014
64 citations recorded by the source corpus.
We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted L spaces when p > 4 3 , where the weight is a power of the distance to the singular boundary point. For 1 < p ≤ 4 3 we show that no such weighted estimates are possible.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/4311ed2d360e431348023dc7b3d61f984ac22025
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In Applied Mathematics
Citations in the corpus
- Bergman Subspaces and Subkernels: Degenerate $$L^p$$Lp Mapping and Zeroes (2016, background): “dness of BΩ, analogous to Theorem 0.2, is shown for certain classes. Krantz and Peloso [16] showed that the Bergman projection on non-smooth versions of the worm domain has limited Lp boundedness. In [7], Chakrabarti and Zeytuncu proved the result corresponding to Theorem 0.2 for H1, with a different”
- The Bergman projection on fat Hartogs triangles: L^p boundedness (2015, background): “ing domains of the form {(z1,z2) ∈ Ω×C: |φ(z1)| <|z2| <1} for φ: Ω → Da biholomorphic map onto D⊂ C. He then obtains Lpboundedness of the Bergman projection for the same restricted range of pas [2] shows for the Hartogs triangle. The situation considered in this paper differs from that in [2] a”