Bavrin’s Type Factorization of the Temljakov Operator for Holomorphic Functions in Circular Domains of $$\mathbb {C}^{n}$$ C n

Abstract

The paper concerns investigations of holomorphic functions of several complex variables with a factorization of their Temljakov transform. Firstly, there were considered some inclusions between the families , defined also by a factorization of L f onto factors from C G and M G . We present some interesting properties and extremal problems on K k G .Keywords Holomorphic functions on n-circular domains in C n · Minkowski function · Estimates of homogeneous polynomials of Taylor series · Temljakov operator · Bavrin's families of functionsCommunicated by