On restricted weak type $(1,1)$: The continuous case
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- by Paul A. Hagelstein and Roger L. Jones PDF
- Proc. Amer. Math. Soc. 133 (2005), 185-190 Request permission
Abstract:
Let $\mathbb {T}$ denote the unit circle. An example of a sublinear translation-invariant operator $T$ acting on $L^{1}\left (\mathbb {T}\right )$ is given such that $T$ is of restricted weak type $(1,1)$ but not of weak type $(1,1)$.References
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Additional Information
- Paul A. Hagelstein
- Affiliation: Department of Mathematics, Baylor University, Waco, Texas 76798
- MR Author ID: 683523
- ORCID: 0000-0001-5612-5214
- Email: paul_hagelstein@baylor.edu
- Roger L. Jones
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- Email: rjones@condor.depaul.edu
- Received by editor(s): April 14, 2003
- Received by editor(s) in revised form: September 12, 2003
- Published electronically: June 2, 2004
- Additional Notes: The first author’s research was partially supported by the Baylor University Summer Sabbatical Program
The second author was partially supported by a research leave granted by DePaul University’s Research Council - Communicated by: Andreas Seeger
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 185-190
- MSC (2000): Primary 42B35; Secondary 37A25
- DOI: https://doi.org/10.1090/S0002-9939-04-07530-6
- MathSciNet review: 2085168