Abstract
In this chapter we gather together many of the basic facts we will use throughout Part II: Orlicz spaces, A p-type conditions, maximal operators, and fractional maximal operators. Fractional maximal operators are treated separately even though a unified presentation is possible; there is some duplication but we believe that the exposition is made clearer this way. Some of the results we present are not new and we give complete references. In some cases we give the proofs, either for completeness or because we can improve upon the original.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Basel
About this chapter
Cite this chapter
Cruz-Uribe, D.V., Martell, J.M., Pérez, C. (2011). Preliminary Results. In: Weights, Extrapolation and the Theory of Rubio de Francia. Operator Theory: Advances and Applications(), vol 215. Springer, Basel. https://doi.org/10.1007/978-3-0348-0072-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0072-3_5
Published:
Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0071-6
Online ISBN: 978-3-0348-0072-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)