Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 166-169
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O. G. Parfenov; M. W. Slupko. Bernstein widths of embedding operators of Lebesgue spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 166-169. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/
@article{ZNSL_1997_247_a10,
author = {O. G. Parfenov and M. W. Slupko},
title = {Bernstein widths of embedding operators of {Lebesgue} spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {166--169},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/}
}
TY - JOUR
AU - O. G. Parfenov
AU - M. W. Slupko
TI - Bernstein widths of embedding operators of Lebesgue spaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 166
EP - 169
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/
LA - ru
ID - ZNSL_1997_247_a10
ER -
%0 Journal Article
%A O. G. Parfenov
%A M. W. Slupko
%T Bernstein widths of embedding operators of Lebesgue spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 166-169
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/
%G ru
%F ZNSL_1997_247_a10
Let $(K,\mu)$ be a measurable space, and let $\mu(K)=1$. Let $$ \textrm I_{p,q}\colon L^p\,(K,\mu)\longrightarrow L^q(K,\mu) $$ be the embedding operator. The Bernstein widths of $\textrm I_{p,q}$ are considered.
