We give conditions on the exponent function p( center dot ) 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

Fiorenza A;
2017

Abstract

We give conditions on the exponent function p( center dot ) 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
Banach function spaces
variable Lebesgue spaces
grand Lebesgue spaces
small Lebesgue spaces
embeddings
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/364262
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