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.
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