Weighted Strong-Type Estimates on Classical Lorentz Spaces-Reference-Cited by-同舟云学术

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Weighted Strong-Type Estimates on Classical Lorentz Spaces

Published:2024-01-20 Issue:3 Volume:34 Page:
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Baena-Miret Sergi^ORCID

Abstract

AbstractWe present new estimates in the setting of weighted classical Lorentz spaces for important operators in Harmonic Analysis such as Calderón-Zygmund operators, sparse operators and the Bochner-Riesz operator among others.

Funder

MCIN/AEI

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12220-023-01519-z.pdf

Reference47 articles.

1. Agora, E.: Boundedness of the Hilbert Transform on Weighted Lorentz Spaces. PhD thesis, Universitat de Barcelona (2012)

2. Agora, E., Carro, M. J., Soria, J.: Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces. J. Fourier Anal. Appl. 19(4), 712–730 (2013). ISSN 1069-5869. https://doi.org/10.1007/s00041-013-9278-1

3. Agora, E., Carro, M.J., Soria, J.: Boundedness of the Hilbert transform on weighted Lorentz spaces. J. Math. Anal. Appl. 395(1), 218–229 (2012). ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2012.05.031

4. Agora, E., Antezana, J., Carro, M.J., Soria, J.: Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces. J. Lond. Math. Soc. (2) 89(2), 321–336, (2014). ISSN 0024-6107. https://doi.org/10.1112/jlms/jdt063

5. Andersen, K.F.: Weighted generalized Hardy inequalities for nonincreasing functions. Can. J. Math. 43(6), 1121–1135 (1991). ISSN 0008-414X. https://doi.org/10.4153/CJM-1991-065-9

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