This article is cited in 1 paper

Some structure properties of conjugate functions in $L(T^N)$

V. A. Okulov

M. V. Lomonosov Moscow State University

Abstract: Estimates of partial integral moduli of continuity of a conjugate function of several variables in terms of the corresponding moduli of continuity of the original functions are presented. In the case of a conjugate function to a function with partial moduli of continuity satisfying the Lipschitz condition the result obtained is best possible.

UDC: 517.518.475

MSC: Primary 42A50, 42B20; Secondary 42B08

Received: 11.11.1997

DOI: 10.4213/sm326

 English version: Sbornik: Mathematics, 1998, 189:5, 727–756

Bibliographic databases:

• 
• 
• 
•