Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
OPTIMAL NON-ISOTROPIC Lp ESTIMATES WITH WEIGHTS FOR ∂ IN STRICTLY PSEUDOCONVEX DOMAINS
Heungju AHNHong Rae CHO
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2002 Volume 56 Issue 2 Pages 447-457

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Abstract
We consider non-isotropic Lp estimates (1 ≤ p ≤ ∞) with weights for the ∂-problem on strictly pseudoconvex domains in Cn by using explicit formulas of solutions introduced by Berndtsson and Andersson. We also give an example which guarantees the optimum of the estimates.
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© 2002 by Faculty of Mathematics, Kyushu University
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