On the Spaceability of the Set of Functions in the Lebesgue Space $$L_p$$ Which are Not in $$L_q$$-Reference-Cited by-同舟云学术

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On the Spaceability of the Set of Functions in the Lebesgue Space $$L_p$$ Which are Not in $$L_q$$

Published:2023-08-09 Issue:3 Volume:54 Page:
ISSN:1678-7544
Container-title:Bulletin of the Brazilian Mathematical Society, New Series
language:en
Short-container-title:Bull Braz Math Soc, New Series

Author:

Araújo G.^ORCID,Barbosa A.,Raposo A.,Ribeiro G.

Funder

Fundação de Apoio à Pesquisa do Estado da Paraíba

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00574-023-00360-w.pdf

Reference16 articles.

1. Aron, R.M., Gurariy, V.I., Seoane-Sepúlveda, J.B.: Lineability and spaceability of sets of functions on $${\mathbb{R} }$$. Proc. Am. Math. Soc. 133(3), 795–803 (2005)

2. Aron, R.M., García-Pacheco, F.J., Pérez-García, D., Seoane-Sepúlveda, J.B.: On dense-lineability of sets of functions on $${\mathbb{R} }$$. Topology 48(2–4), 149–156 (2009)

3. Aron, R.M., Bernal-González, L., Pellegrino, D.M., Seoane-Sepúlveda, J.B.: Lineability: the search for linearity in mathematics, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2016)

4. Bernal-González, L.: Algebraic genericity of strict order integrability. Studia Math. 199, 279–293 (2010)

5. Bernal-González, L., Cabrera, M.O.: Spaceability of strict order integrability. J. Math. Anal. Appl. 385, 303–309 (2012)

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1. Sharp Exponents for Anisotropic Hardy–Littlewood Type of Inequalities;Bulletin of the Brazilian Mathematical Society, New Series;2024-07-08

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