Estimates for the extremal sections of complex p - balls Duc
نویسندگان
چکیده
The problem of maximal hyperplane section of Bp(C) with p≥ 1 is considered, which is the complex version of central hyperplane section problem of Bp(R). The relation between the complex slicing problem and the complex isotropic constant of a body is established, an upper bound estimate for the volume of complex central hyperplane sections of normalized complex p(C)-balls that does not depend on n and p is shown, which extends results of Oleszkiewicz and Pełczyński, Koldobsky and Zymonopoulou, and Meyer and Pajor. MSC: 52A21; 46B07
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