Weighted and vector-valued inequalities for potential operators

Authors:
Francisco J. Ruiz Blasco and José L. Torrea Hernández

Journal:
Trans. Amer. Math. Soc. **295** (1986), 213-232

MSC:
Primary 42B20; Secondary 42B25

DOI:
https://doi.org/10.1090/S0002-9947-1986-0831197-4

MathSciNet review:
831197

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we develop some aspect of a general theory parallel to the Calderón-Zygmund theory for operator valued kernels, where the operators considered map functions defined on into functions defined on .

In particular, we apply the obtained results to get vector-valued inequalities for the Poisson integral and fractional integrals. Some weighted norm inequalities are also considered for fractional integrals.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1986-0831197-4

Keywords:
Poisson integral,
Carleson measures,
fractional integral,
vector-valued inequalities,
weighted norm inequalities

Article copyright:
© Copyright 1986
American Mathematical Society