The weak type inequality for the Walsh system
Studia Mathematica (2008)
- Volume: 185, Issue: 1, page 35-48
- ISSN: 0039-3223
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topUshangi Goginava. "The weak type inequality for the Walsh system." Studia Mathematica 185.1 (2008): 35-48. <http://eudml.org/doc/284729>.
@article{UshangiGoginava2008,
abstract = {The main aim of this paper is to prove that the maximal operator $σ^\{#\}$ is bounded from the Hardy space $H_\{1/2\}$ to weak-$L_\{1/2\}$ and is not bounded from $H_\{1/2\}$ to $L_\{1/2\}$.},
author = {Ushangi Goginava},
journal = {Studia Mathematica},
keywords = {Walsh function; Hardy space; maximal operator},
language = {eng},
number = {1},
pages = {35-48},
title = {The weak type inequality for the Walsh system},
url = {http://eudml.org/doc/284729},
volume = {185},
year = {2008},
}
TY - JOUR
AU - Ushangi Goginava
TI - The weak type inequality for the Walsh system
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 1
SP - 35
EP - 48
AB - The main aim of this paper is to prove that the maximal operator $σ^{#}$ is bounded from the Hardy space $H_{1/2}$ to weak-$L_{1/2}$ and is not bounded from $H_{1/2}$ to $L_{1/2}$.
LA - eng
KW - Walsh function; Hardy space; maximal operator
UR - http://eudml.org/doc/284729
ER -
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