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Hölder Type Estimates for the $\overline\partial$-Equation in Strongly Pseudoconvex Domains

Hölder Type Estimates for the $\overline\partial$-Equation in Strongly Pseudoconvex Domains

In this paper we generalize the Hölder space with a majorant function, define its order, and prove the existence and regularity for the solutions of the Cauchy-Riemann equation in the generalized Hölder space over a bounded strongly pseudoconvex domain.