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Function Theory and $ℓ^{p}$ Spaces
About this Title
Raymond Cheng, Old Dominion University, Norfolk, VA, Javad Mashreghi, Laval University, Quebec City, QC, Canada and William T. Ross, University of Richmond, Richmond, VA
Publication: University Lecture Series
Publication Year:
2020; Volume 75
ISBNs: 978-1-4704-5593-4 (print); 978-1-4704-6009-9 (online)
DOI: https://doi.org/10.1090/ulect/075
Table of Contents
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Front/Back Matter
Chapters
- The basics of $\ell ^p$
- Frames
- The geometry of $\ell ^p$
- Weak parallelogram laws
- Hardy and Bergman spaces
- $\ell ^p$ as a function space
- Some operators on $\ell ^p_A$
- Extremal functions
- Zeros of $\ell ^p_A$ functions
- The shift
- The backward shift
- Multipliers of $\ell ^p_A$
- The Wiener algebra
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