Abstract
AbstractThe paper concerns holomorphic functions in complete bounded n-circular domains $${{\mathcal {G}}}$$G of the space $${\mathbb {C}}^n$$Cn. The object of the present investigation is to solve majorization problem of Temljakov operator. This type of problem has been studied earlier in Liczberski and Żywień (Folia Sci Univ Tech Res 33:37–42, 1986), Liczberski (Bull Technol Sci Univ Łódź 20:29–37, 1988) and Leś-Bomba and Liczberski (Demonstratio Math 42(3):491–503, 2009). In this paper we considered the family $${{\mathcal {M}}}_{{{\mathcal {G}}}}\cap {{\mathcal {F}}}_{0,k}({{\mathcal {G}}})$$MG∩F0,k(G), i.e. the functions of the Bavrin family $${{\mathcal {M}}}_{{{\mathcal {G}}}}$$MG, which are (0, k)-symmetrical.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
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