Mean Oscillations and Equimeasurable Rearrangements of Functions

TRAMA

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.

SOMMARIO

Preliminaries and Auxiliary Results.- Properties of Oscillations and the Definition of the BMO-class.- Estimates of Rearrangements and the John–Nirenberg Theorem.- The BMO-estimates of the Hardy-type Transforms.- The Gurov–Reshetnyak Class of Functions.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783540747086
• Collana: Lecture Notes of the Unione Matematica Italiana
• Dimensioni: 235 x 155 mm Ø 640 gr
• Formato: Brossura
• Illustration Notes: VIII, 189 p.
• Pagine Arabe: 189
• Pagine Romane: viii