The weak type inequality for the Walsh system
Studia Mathematica, Tome 185 (2008) no. 1, pp. 35-48
The main aim of this paper is to prove that the maximal operator $\sigma ^{\#}$ is bounded from the Hardy space $H_{1/2}$ to weak-$L_{1/2}$ and is not bounded from $H_{1/2}$ to $L_{1/2}$.
Keywords:
main paper prove maximal operator sigma bounded hardy space weak l bounded
Affiliations des auteurs :
Ushangi Goginava  1
@article{10_4064_sm185_1_2,
author = {Ushangi Goginava},
title = {The weak type inequality for the {Walsh} system},
journal = {Studia Mathematica},
pages = {35--48},
year = {2008},
volume = {185},
number = {1},
doi = {10.4064/sm185-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm185-1-2/}
}
Ushangi Goginava. The weak type inequality for the Walsh system. Studia Mathematica, Tome 185 (2008) no. 1, pp. 35-48. doi: 10.4064/sm185-1-2
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