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Acta Mathematica Vietnamica

WEIGHTED ESTIMATES FOR SOLUTIONS OF $\overline{\partial}$-EQUATIONS ON CLOSED POSITIVE $(1, 1)$-CURRENTS

LE MAU HAI, NGUYEN XUAN HONG

Abstract

In this paper, we give estimates of Hörmander type and Donnelly-Fefferman type for solutions of the $\overline{\partial}$-equation on a closed positive $(1, 1)$- current $T$ in a pseudoconvex domain of $\mathbb C^{n+1}$.