Boundedness of the Hausdorff operators in $H^p$ spaces, 0 < p < 1

Elijah Liflyand, and Akihiko Miyachi. "Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1." Studia Mathematica 194.3 (2009): 279-292. <http://eudml.org/doc/284890>.

@article{ElijahLiflyand2009,
abstract = {Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^\{p\}$, 0 < p < 1, on the real line are proved. Two related negative results are also given.},
author = {Elijah Liflyand, Akihiko Miyachi},
journal = {Studia Mathematica},
keywords = {Hausdorff operator; Cesaro operator; Hardy spaces; Fourier transform},
language = {eng},
number = {3},
pages = {279-292},
title = {Boundedness of the Hausdorff operators in $H^\{p\}$ spaces, 0 < p < 1},
url = {http://eudml.org/doc/284890},
volume = {194},
year = {2009},
}

TY - JOUR
AU - Elijah Liflyand
AU - Akihiko Miyachi
TI - Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1
JO - Studia Mathematica
PY - 2009
VL - 194
IS - 3
SP - 279
EP - 292
AB - Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^{p}$, 0 < p < 1, on the real line are proved. Two related negative results are also given.
LA - eng
KW - Hausdorff operator; Cesaro operator; Hardy spaces; Fourier transform
UR - http://eudml.org/doc/284890
ER -