On relatively compact sets in quasi-Banach function spaces
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- by Weichao Guo and Guoping Zhao PDF
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Abstract:
This paper is devoted to the study of the relatively compact sets in quasi-Banach function spaces, providing an important improvement of the known results. As an application, we take the final step in establishing a relative compactness criteria for function spaces with any weight without any assumption.References
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Additional Information
- Weichao Guo
- Affiliation: School of Science, Jimei University, Xiamen, 361021, People’s Republic of China
- MR Author ID: 1023531
- Email: weichaoguomath@gmail.com
- Guoping Zhao
- Affiliation: School of Applied Mathematics, Xiamen University of Technology, Xiamen, 361024, People’s Republic of China
- MR Author ID: 1066314
- Email: guopingzhaomath@gmail.com
- Received by editor(s): April 6, 2019
- Received by editor(s) in revised form: October 31, 2019, and December 2, 2019
- Published electronically: March 17, 2020
- Additional Notes: Supported by the National Natural Foundation of China (Nos. 11701112, 11601456, 11671414, 11771388) and the Natural Science Foundation of Fujian Province (Nos. 2017J01723, 2018J01430).
The second author is the corresponding author - Communicated by: Ariel Barton
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 3359-3373
- MSC (2010): Primary 46B50, 46E30, 42B35
- DOI: https://doi.org/10.1090/proc/14963
- MathSciNet review: 4108843