Two weight norm inequalities for fractional one-sided maximal and integral operators
Commentationes Mathematicae Universitatis Carolinae (2006)
- Volume: 47, Issue: 1, page 35-46
- ISSN: 0010-2628
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topDe Rosa, Liliana. "Two weight norm inequalities for fractional one-sided maximal and integral operators." Commentationes Mathematicae Universitatis Carolinae 47.1 (2006): 35-46. <http://eudml.org/doc/249843>.
@article{DeRosa2006,
abstract = {In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: \[ \int \_\{-\infty \}^\{+\infty \} M\_\{\alpha \}^+(f)(x)^p w(x)\,dx \le A\_p \int \_\{-\infty \}^\{+\infty \} |f(x)|^p M\_\{\alpha p\}^-(w)(x)\,dx, \]
where $0 < \alpha < 1$ and $1 < p < 1/\alpha $. We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral $I_\{\alpha \}^+$.},
author = {De Rosa, Liliana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {one-sided fractional operators; weighted inequalities; one-sided fractional operators; weighted inequalities},
language = {eng},
number = {1},
pages = {35-46},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Two weight norm inequalities for fractional one-sided maximal and integral operators},
url = {http://eudml.org/doc/249843},
volume = {47},
year = {2006},
}
TY - JOUR
AU - De Rosa, Liliana
TI - Two weight norm inequalities for fractional one-sided maximal and integral operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 1
SP - 35
EP - 46
AB - In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: \[ \int _{-\infty }^{+\infty } M_{\alpha }^+(f)(x)^p w(x)\,dx \le A_p \int _{-\infty }^{+\infty } |f(x)|^p M_{\alpha p}^-(w)(x)\,dx, \]
where $0 < \alpha < 1$ and $1 < p < 1/\alpha $. We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral $I_{\alpha }^+$.
LA - eng
KW - one-sided fractional operators; weighted inequalities; one-sided fractional operators; weighted inequalities
UR - http://eudml.org/doc/249843
ER -
References
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