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arxiv: 1105.5600 · v1 · pith:AVOS2PN2new · submitted 2011-05-27 · 🧮 math.CV

Bergman-type projections in generalized Fock spaces

classification 🧮 math.CV
keywords bergman-typegeneralizedprojectionsassociatedboundednesscharacterizationcompletecriteria
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We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization is obtained for 0<m<=1 and 2n/(2n-1)<m<2; partial results are given for other values of m.

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