Two-Scale Estimates for Special Finite Discrete Operators

Abstract

We consider a certain finite discrete approximation for multidimensional Calderon–Zygmund integral operator and give a comparison between solutions of corresponding equations in some spaces of discrete functions.

Keywords:

• finite discrete operator
• Calderon–Zygmund operator
• error estimate

AMS Subject Classification:

• 42B20
• 65R20

Additional information

Funding

This work was supported by RFBR and Lipetsk regional government of Russia, grant No. 14-41-03595-r-center-a