Note on a Special Class of $$A_{1}\left( \mathbb {R}\right) $$ Weights that Exemplify Rubio de Francia’s Littlewood–Paley Type Inequality in the Setting of $$A_{1}\left( \mathbb {R}\right) $$-Weighted $$L^{2}$$-Reference-Cited by-同舟云学术

Note on a Special Class of $$A_{1}\left( \mathbb {R}\right) $$ Weights that Exemplify Rubio de Francia’s Littlewood–Paley Type Inequality in the Setting of $$A_{1}\left( \mathbb {R}\right) $$-Weighted $$L^{2}$$

Published:2023-05-13 Issue:8 Volume:33 Page:
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Berkson Earl

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s12220-023-01299-6.pdf

Reference8 articles.

1. Barry, J.Y.: On the convergence of ordered sets of projections. Proc. Am. Math. Soc. 5, 313–314 (1954)

2. Berkson, E.: Periodization, transference of Muckenhoupt weights, and automatic tight norm estimates for the periodic Hilbert transform. J. Geom. Anal. 31, 8780–8831 (2021)

3. Berkson, E.: Re: positive resolution of Rubio de Francia’s Littlewood-Paley Conjecture for arbitrary disjoint intervals in the context of $$A_{1}$$-Weighted $$L^{2}$$. J. Geom. Anal. 32(8), 223 (2022)

4. Carbery, A.: The work of José Luis Rubio de Francia IV. Publicacions Matemàtiques. 35(1), 81–93 (1991)

5. Coifman, R.R., Rochberg, R.: Another characterization of BMO. Proc. Am. Math. Soc. 79, 249–254 (1980)

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1. Proof that a Form of Rubio de Francia’s Conjectured Littlewood-Paley Type Inequality for $$A_{1}\left( {\mathbb {R}}\right) $$-Weighted $$L^{2}\left( {\mathbb {R}}\right) $$ is Valid for Every Even $$A_{1}\left( {\mathbb {R}}\right) $$ Weight;The Journal of Geometric Analysis;2024-08-24