Geodesic
Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory
Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 167-192

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove extrapolation theorems in weighted Iwaniec–Sbordone spaces and apply them to one-weight inequalities for several integral operators of harmonic analysis. In addition, in weighted grand Lebesgue spaces, we establish Bernstein and Nikol'skii type inequalities and prove direct and inverse theorems on the approximation of functions. 
@article{TRSPY_2016_293_a11,
     author = {V. M. Kokilashvili and A. N. Meskhi},
     title = {Weighted extrapolation in {Iwaniec--Sbordone} spaces. {Applications} to integral operators and approximation theory},
     journal = {Informatics and Automation},
     pages = {167--192},
     publisher = {mathdoc},
     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a11/}
}
TY  - JOUR
AU  - V. M. Kokilashvili
AU  - A. N. Meskhi
TI  - Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory
JO  - Informatics and Automation
PY  - 2016
SP  - 167
EP  - 192
VL  - 293
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a11/
LA  - ru
ID  - TRSPY_2016_293_a11
ER  - 
%0 Journal Article
%A V. M. Kokilashvili
%A A. N. Meskhi
%T Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory
%J Informatics and Automation
%D 2016
%P 167-192
%V 293
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a11/
%G ru
%F TRSPY_2016_293_a11
V. M. Kokilashvili; A. N. Meskhi. Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory. Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 167-192. http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a11/