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Approximation rate and invertibility for some singular integral operators
Author(s) -
Vasilyev Alexander,
Vasilyev Vladimir
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310182
Subject(s) - singular integral operators , integrable system , square integrable function , mathematics , singular integral , operator theory , singular integral operators of convolution type , space (punctuation) , pure mathematics , fourier integral operator , mathematical analysis , microlocal analysis , singular solution , integral equation , computer science , operating system
Abstract We consider discrete analogues of multi‐dimensional singular integrals and integral operators in a half‐space in square integrable and Hölder spaces with weight, and invertibility of discrete operators, and give the approximation rate for discrete operators. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)