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Volume
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Vietnam Journal of Mathematics 38:2 (2010)
211-225
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Weighted Estimates for Solutions of the
$\overline\partial$-Equation in q-Pseudoconvex
Domains
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Le Mau Hai and
Nguyen Xuan Hong
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Abstract. In this paper we give weighted
estimates of Hӧrmander type for solutions of the
$\overline\partial$-equation of $\overline{\partial}$-closed (0, r) -forms in q-pseudoconvex domains of $\mathbb C^n$. At the same time, we
also establish the norm formula |.|Θ of (0, r) -forms according to a positive
definite Hermitian (1,1)-form Θ.
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2000 Mathematics Subject Classification: 32U05, 32U10,
32W05.
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Keywords: $\overline{\partial}$-equation, weighted L2-estimates of Hӧrmander
type, q-pseudoconvex domains, q-subharmonic functions.
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