We give conditions on the exponent function p( · ) that imply the existence of embeddings between the grand, small, and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.

Embeddings between grand, small, and variable Lebesgue spaces / Cruz-Uribe, D.; Fiorenza, A.; Guzmán, O. M.. - In: MATHEMATICAL NOTES. - ISSN 1067-9073. - 102:5-6(2017), pp. 677-686. [10.1134/S0001434617110074]

Embeddings between grand, small, and variable Lebesgue spaces

Fiorenza, A.;
2017

Abstract

We give conditions on the exponent function p( · ) that imply the existence of embeddings between the grand, small, and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.
2017
Embeddings between grand, small, and variable Lebesgue spaces / Cruz-Uribe, D.; Fiorenza, A.; Guzmán, O. M.. - In: MATHEMATICAL NOTES. - ISSN 1067-9073. - 102:5-6(2017), pp. 677-686. [10.1134/S0001434617110074]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/707244
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