Generalized Cesàro operators on certain function spaces

Sunanda Naik. "Generalized Cesàro operators on certain function spaces." Annales Polonici Mathematici 98.2 (2010): 189-199. <http://eudml.org/doc/281108>.

@article{SunandaNaik2010,
abstract = {Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators $^\{b,c\}$ is bounded on the Dirichlet spaces $_\{p,a\}$. We also give a short and direct proof of boundedness of $^\{b,c\}$ on the Hardy space $H^p$ for 1 < p < ∞.},
author = {Sunanda Naik},
journal = {Annales Polonici Mathematici},
keywords = {hypergeometric function; generalized Cesàro operators},
language = {eng},
number = {2},
pages = {189-199},
title = {Generalized Cesàro operators on certain function spaces},
url = {http://eudml.org/doc/281108},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Sunanda Naik
TI - Generalized Cesàro operators on certain function spaces
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 2
SP - 189
EP - 199
AB - Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators $^{b,c}$ is bounded on the Dirichlet spaces $_{p,a}$. We also give a short and direct proof of boundedness of $^{b,c}$ on the Hardy space $H^p$ for 1 < p < ∞.
LA - eng
KW - hypergeometric function; generalized Cesàro operators
UR - http://eudml.org/doc/281108
ER -