Embeddings between grand, small and variable Lebesgue spaces

Published 18 Jun 2017 in math.CA | (1706.05722v1)

Abstract: We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between 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.

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