This article is cited in 3 papers

Mosaic approximations of discrete analogs of Calderón–Zygmund operators

N. É. Mikhailovskii<sup>ab

a</sup> Moscow Institute of Physics and Technology
^b Institute of Numerical Mathematics, Russian Academy of Sciences

Abstract: Asymptotic estimates of the form $\operatorname{mr}A=O(\ln N\cdot\ln^d\varepsilon^{-1})$, where $d$ is the dimension of the initial space, for mosaic ranks of discrete analog of Calderón–Zygmund operators are obtained for various mosaic covers.

UDC: 517

Received: 14.03.1996
Revised: 17.04.1997

DOI: 10.4213/mzm1250

 English version: Mathematical Notes, 1998, 63:1, 72–83

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