JUMP AND VARIATIONAL INEQUALITIES FOR AVERAGING OPERATORS WITH VARIABLE KERNELS

Gong, ZB; Chen, YP; Tao, WY

Chen, YP (corresponding author), Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (5): 1851

Abstract

In this paper, we prove that the jump function and variation of averaging operators with rough variable kernels are bounded on L-2(R-n) if Omega is an......

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