Some weighted norm inequalities for a one-sided version of $g*_{λ}$
Studia Mathematica, Tome 176 (2006) no. 1, p. 21.
Voir la notice de l'article dans European Digital Mathematics Library
We study the boundedness of the one-sided operator
g
⁺
λ
,
φ
between the weighted spaces
L
p
(
M
¯
w
)
and
L
p
(
w
)
for every weight w. If λ = 2/p whenever 1 < p < 2, and in the case p = 1 for λ > 2, we prove the weak type of
g
⁺
λ
,
φ
. For every λ > 1 and p = 2, or λ > 2/p and 1 < p < 2, the boundedness of this operator is obtained. For p > 2 and λ > 1, we obtain the boundedness of
g
⁺
λ
,
φ
from
L
p
(
(
M
¯
)
[
p
/
2
]
+
1
w
)
to
L
p
(
w
)
, where
(
M
¯
)
k
denotes the operator M¯ iterated k times.
Classification :
42B25, 26A33
Mots-clés : one-sided maximal functions, Littlewood–Paley theory, one-sided weights
Mots-clés : one-sided maximal functions, Littlewood–Paley theory, one-sided weights
@article{STUMA_2006__176_1_284771,
author = {L. de Rosa and C. Segovia},
title = {Some weighted norm inequalities for a one-sided version of $g*_{\ensuremath{\lambda}}$},
journal = {Studia Mathematica},
pages = {21},
publisher = {mathdoc},
volume = {176},
number = {1},
year = {2006},
zbl = {1106.42015},
language = {en},
url = {https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_1_284771/}
}
L. de Rosa; C. Segovia. Some weighted norm inequalities for a one-sided version of $g*_{λ}$. Studia Mathematica, Tome 176 (2006) no. 1, p. 21. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_1_284771/