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.
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Heungju Ahn, Hong Rae Cho, Jong-Do Park, Hölder Type Estimates for the -Equation in Strongly Pseudoconvex Domains. Rend. Sem. Mat. Univ. Padova 120 (2008), pp. 127–138DOI 10.4171/RSMUP/120-7