The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
Copyright policy )The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
A class of pseudoconvex domains in $\mathbb{C}^{n}$ generalizing the Hartogs triangle is considered. The $L^p$ boundedness of the Bergman projection associated to these domains is established, for a restricted range of $p$ depending on the "fatness" of domains. This range of $p$ is shown to be sharp.
- The Ohio State University United States
- University of Vienna Austria
32W05, 32A25, DOMAINS, dual space, KERNEL, Mathematics - Complex Variables, 101002 Analysis, 101008 Complex analysis, Bergman kernel, singularity, L^p regularity, 101008 Funktionentheorie, L^p mapping irregularity, Fat Hartogs triangles, Schur's test, SZEGO, Schur's lemma, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, Bergman projection, Complex Variables (math.CV)
32W05, 32A25, DOMAINS, dual space, KERNEL, Mathematics - Complex Variables, 101002 Analysis, 101008 Complex analysis, Bergman kernel, singularity, L^p regularity, 101008 Funktionentheorie, L^p mapping irregularity, Fat Hartogs triangles, Schur's test, SZEGO, Schur's lemma, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, Bergman projection, Complex Variables (math.CV)
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