Constructive characteristics of full modules of smoothness in mixed metric

M. K. Potapov^a, B. V. Simonov<sup>b

a</sup> Moscow State University, 1 Leninskie Gory, GSP-1, Moscow, 119991 Russia
^b Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia

Abstract: We adduce a constructive characteristics of full modules of smoothness of natural orders in the space $L_{p_1 p_2}$, $1 \leq p_i \leq \infty$, $i = 1,2$.

Keywords: full modules of smoothness, mixed metric.

UDC: 517.5

Received: 12.12.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:3, 45–52

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