On weighted weak type inequalities

for modified Hardy operators

Authors:
F. J. Martín-Reyes and P. Ortega

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1739-1746

MSC (1991):
Primary 26D15

MathSciNet review:
1443843

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Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the pairs of weights for which the modified Hardy operator applies into weak- where is a monotone function and .

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Additional Information

**F. J. Martín-Reyes**

Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain

Email:
martin@anamat.cie.uma.es

**P. Ortega**

Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain

Email:
ortega@anamat.cie.uma.es

DOI:
http://dx.doi.org/10.1090/S0002-9939-98-04247-6

Keywords:
Hardy operators,
weights,
inequalities

Received by editor(s):
September 8, 1995

Received by editor(s) in revised form:
December 1, 1996

Additional Notes:
This research has been partially supported by D.G.I.C.Y.T. grant (PB94-1496) and Junta de Andalucía

Communicated by:
J. Marshall Ash

Article copyright:
© Copyright 1998
American Mathematical Society