Korenovskii, A: Mean Oscillations
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...
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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.
- 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
- Autor: Anatolii Korenovskii
- 2007, VIII, 188 Seiten, Maße: 15,7 x 23,6 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540747087
- ISBN-13: 9783540747086
- Erscheinungsdatum: 19.09.2007
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