TY - JOUR
T1 - Lp-bounded point evaluations for polynomials and uniform rational approximation
AU - Brennan, J. E.
AU - Militzer, E. R.
PY - 2011
Y1 - 2011
N2 - A connection is established between uniform rational approximation and approximation in the mean by polynomials on compact nowhere dense subsets of the complex plane ℂ. Peak points for R(X) and bounded point evaluations for Hp(X, dA), 1 ≤ p < ∞, play a fundamental role.
AB - A connection is established between uniform rational approximation and approximation in the mean by polynomials on compact nowhere dense subsets of the complex plane ℂ. Peak points for R(X) and bounded point evaluations for Hp(X, dA), 1 ≤ p < ∞, play a fundamental role.
KW - Capacity
KW - Peak points
KW - Point evaluations
KW - Polynomial and rational approximation
UR - http://www.scopus.com/inward/record.url?scp=84871398096&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871398096&partnerID=8YFLogxK
U2 - 10.1090/S1061-0022-2010-01131-2
DO - 10.1090/S1061-0022-2010-01131-2
M3 - Article
AN - SCOPUS:84871398096
SN - 1061-0022
VL - 22
SP - 41
EP - 53
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
IS - 1
ER -