A new proof of weighted weak-type inequalities for fractional integrals
Commentationes Mathematicae Universitatis Carolinae (2001)
- Volume: 42, Issue: 3, page 481-485
- ISSN: 0010-2628
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topCruz-Uribe, David. "A new proof of weighted weak-type inequalities for fractional integrals." Commentationes Mathematicae Universitatis Carolinae 42.3 (2001): 481-485. <http://eudml.org/doc/248790>.
@article{Cruz2001,
abstract = {We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional integrals first proved by Cruz-Uribe and Pérez [4].},
author = {Cruz-Uribe, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weights; weak-type inequalities; fractional integrals; weight; weak-type inequality; Riesz potential; fractional integral},
language = {eng},
number = {3},
pages = {481-485},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A new proof of weighted weak-type inequalities for fractional integrals},
url = {http://eudml.org/doc/248790},
volume = {42},
year = {2001},
}
TY - JOUR
AU - Cruz-Uribe, David
TI - A new proof of weighted weak-type inequalities for fractional integrals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 3
SP - 481
EP - 485
AB - We give a new and simpler proof of a two-weight, weak $(p,p)$ inequality for fractional integrals first proved by Cruz-Uribe and Pérez [4].
LA - eng
KW - weights; weak-type inequalities; fractional integrals; weight; weak-type inequality; Riesz potential; fractional integral
UR - http://eudml.org/doc/248790
ER -
References
top- Cruz-Uribe D., SFO, New proofs of two-weight norm inequalities for the maximal operator, Georgian Math. J. 7 (2000), 33-42. (2000) MR1768043
- Cruz-Uribe D., SFO, Fiorenza A., The property for Young functions and weighted norm inequalities, Houston J. Math., to appear. MR1876947
- Cruz-Uribe D., SFO, Pérez C., Sharp two-weight, weak-type norm inequalities for singular integral operators, Math. Res. Lett. 6 (1999), 417-428. (1999) MR1713140
- Cruz-Uribe D., SFO, Pérez C., Two-weight, weak-type norm inequalities for fractional integrals, Calderón-Zygmund operators and commutators, Indiana Math. J. 49 (2000), 697-721. (2000) MR1793688
- García-Cuerva J., Rubio de Francia J.L., Weighted Norm Inequalities and Related Topics, North Holland Math. Studies 116, North Holland, Amsterdam, 1985. MR0848147
- Muckenhoupt B., Wheeden R., Weighted norm inequalities for fractional integrals, Trans. Amer. Math. Soc. 192 (1974), 261-274. (1974) Zbl0289.26010MR0340523
- Pérez C., Two weighted inequalities for potential and fractional type maximal operators, Indiana Math. J. 43 (1994), 663-683. (1994) MR1291534
- Sawyer E.T., Weighted norm inequalities for fractional maximal operators, 1980 Seminar on Harmonic Analysis, CMS Conf. Proc. 1, pp.283-309, Amer. Math. Soc., Providence, 1981. Zbl0546.42018MR0670111
- Sawyer E.T., Wheeden R., Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces, Amer. J. Math. 114 (1992), 813-874. (1992) Zbl0783.42011MR1175693
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