Buch, Englisch, Band 4, 189 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 640 g
Buch, Englisch, Band 4, 189 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 640 g
Reihe: Lecture Notes of the Unione Matematica Italiana
ISBN: 978-3-540-74708-6
Verlag: Springer
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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Weitere Infos & Material
Preface.- 1.Preliminaries and auxilliary results.- 2. Properties of oscillations and the definition of the BMO-class.- 3.Estimates of rearrangements and the John-Nirenberg theorem.- 4.The BMO-estimates of the Hardy-type transforms.- 5.The Gurov-Reshetnyak class of functions.- Appendix: A.The boundedness of the Hardy-Littlewood maximal operator from BMO into BLO.- B.The weighted analogs of the Riesz lemma and the Gurov-Reshetnyak theorem.- C.Classes of functions satisfying the reverse Hölder inequality.- References.- Index.
