The generalized Roper-Suffridge extension operator in Banach spaces (III)

Abstract

Suppose that X is a complex Banach space with the norm · and n is a positive integer with dim X n 2. In this paper, we consider the generalized Roper-Suffridge extension operator

Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains

“…After that, the other properties of Roper-Suffridge operator were studied by Graham, Hamada, Kohr, Gong and Liu, and others (see [3][4][5][6][8][9][10][11][12]14,[19][20][21]). We generalized Roper-Suffridge operator to Banach spaces in [15][16][17]30,31].…”

The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains

“…We also generalized the Roper-Suffridge operator to the Banach spaces in [12][13][14][15]. All of these papers studied the properties of the generalized Roper-Suffridge operator on a domain D p with some p j = 2.…”