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A First Course in Fractional Sobolev Spaces
About this Title
Giovanni Leoni, Carnegie Mellon University, Pittsburgh, PA
Publication: Graduate Studies in Mathematics
Publication Year:
2023; Volume 229
ISBNs: 978-1-4704-6898-9 (print); 978-1-4704-7252-8 (online)
DOI: https://doi.org/10.1090/gsm/229
Table of Contents
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Front/Back Matter
Fractional Sobolev spaces in one dimension
- Fractional Sobolev spaces in one dimension
- Embeddings and interpolation
- A bit of wavelets
- Rearrangements
- Higher order fractional Sobolev spaces in one dimension
Fractional Sobolev spaces
- Fractional Sobolev spaces
- Embeddings and interpolation
- Further properties
- Trace theory
- Symmetrization
- Higher order fractional Sobolev spaces
- Some equivalent seminorms
Applications