Mean Oscillations and Equimeasurable Rearrangements of Functions

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This volume considers various applications of equimeasurable function rearrangements to the best constant -type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.