Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited

Abstract

We present a new approach to Lorentz-Shimogaki and Arazy-Cwikel Theorems which covers all range of p,q∈ (0,∞] for function spaces and sequence spaces. As a byproduct, we solve a conjecture of Levitina and the last two authors.

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