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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 6, Pages 20–32 (Mi ivm8901)

Rearrangement formulas for singular Khenkin–Ramirez integral in strictly pseudoconvex domains

D. Kh. Dzhumabaev

Chair of Mathematical Analysis, National University of Uzbekistan, 1 Universitetskaya str., Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan

Abstract: We consider the rearrangement and composition formulas for singular Khenkin–Ramirez integral in strictly pseudoconvex domains for principal values by Cauchy and by Kerzman–Stein. These formulas are differrent.

Keywords: Khenkin–Ramirez integral, principal value by Cauchy, principal value by Kerzman–Stein.

UDC: 517.55

Received: 06.12.2012


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:6, 16–27

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© Steklov Math. Inst. of RAS, 2024