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Canonical Sobolev projections of weak type $(1,1)$
About this Title
Earl Berkson, Jean Bourgain, Aleksander Pełczynski and Michał Wojciechowski
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 150, Number 714
ISBNs: 978-0-8218-2665-2 (print); 978-1-4704-0307-2 (online)
DOI: https://doi.org/10.1090/memo/0714
MathSciNet review: 1805761
MSC: Primary 47B38; Secondary 42B15, 46E35, 47F05
Table of Contents
Chapters
- 1. Introduction and notation
- 2. Some properties of weak type multipliers and canonical projections of weak type (1,1)
- 3. A class of weak type (1,1) rational multipliers
- 4. A subclass of $L^\infty (\mathbb {R}^2) \ M^{(w)}_1 (\mathbb {R}^2)$ induced by $L^\infty (\mathbb {R})$
- 5. Some combinatorial tools
- 6. Necessity proof for the second order homogeneous case: a converse to Corollary (2.14)
- 7. Canonical projections of weak type (1,1) in the $\mathbb {T}^n$ model: Second order homogeneous case
- 8. The non-homogeneous case
- 9. Reducible smoothnesses of order 2
- 10. The canonical projection of every two-dimensional smoothness is of weak type (1,1)