| Title:
|
A new proof of weighted weak-type inequalities for fractional integrals (English) |
| Author:
|
Cruz-Uribe, D., SFO |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
481-485 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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]. (English) |
| Keyword:
|
weights |
| Keyword:
|
weak-type inequalities |
| Keyword:
|
fractional integrals |
| MSC:
|
42B20 |
| MSC:
|
42B25 |
| idZBL:
|
Zbl 1055.42006 |
| idMR:
|
MR1860236 |
| . |
| Date available:
|
2009-01-08T19:11:56Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119262 |
| . |
| Reference:
|
[1] Cruz-Uribe D., SFO: New proofs of two-weight norm inequalities for the maximal operator.Georgian Math. J. 7 (2000), 33-42. MR 1768043 |
| Reference:
|
[2] Cruz-Uribe D., SFO, Fiorenza A.: The $A_\infty$ property for Young functions and weighted norm inequalities.Houston J. Math., to appear. MR 1876947 |
| Reference:
|
[3] Cruz-Uribe D., SFO, Pérez C.: Sharp two-weight, weak-type norm inequalities for singular integral operators.Math. Res. Lett. 6 (1999), 417-428. MR 1713140 |
| Reference:
|
[4] 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. MR 1793688 |
| Reference:
|
[5] García-Cuerva J., Rubio de Francia J.L.: Weighted Norm Inequalities and Related Topics.North Holland Math. Studies 116, North Holland, Amsterdam, 1985. MR 0848147 |
| Reference:
|
[6] Muckenhoupt B., Wheeden R.: Weighted norm inequalities for fractional integrals.Trans. Amer. Math. Soc. 192 (1974), 261-274. Zbl 0289.26010, MR 0340523 |
| Reference:
|
[7] Pérez C.: Two weighted inequalities for potential and fractional type maximal operators.Indiana Math. J. 43 (1994), 663-683. MR 1291534 |
| Reference:
|
[8] 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. Zbl 0546.42018, MR 0670111 |
| Reference:
|
[9] Sawyer E.T., Wheeden R.: Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces.Amer. J. Math. 114 (1992), 813-874. Zbl 0783.42011, MR 1175693 |
| . |
