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Mean Oscillations and Equimeasurable Rearrangem...
53,90 CHF *
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Various applications of equimeasurable function rearrangements to the 'best constant'-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics. TOC: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.

Anbieter: Orell Fuessli CH
Stand: 24.11.2020
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Korenovskii, A: Mean Oscillations
38,99 € *
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Various applications of equimeasurable function rearrangements to the ''best constant'-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for  bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.  

Anbieter: Thalia AT
Stand: 24.11.2020
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Interpolation Spaces and Allied Topics in Analysis
36,99 € *
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The theory of interpolation spaces ¿ its origin, prospects for the future.- An interpolation theorem for modular spaces.- Some aspects of the minimal, M¿biusinvariant space of analytic functions on the unit disc.- A non-linear complex interpolation result.- A remark about Calder¿n's upper s method of interpolation.- The coincidence of real and complex interpolation methods for couples of weighted Banach lattices.- The K functional for (H1, BMO).- A relation between two interpolation methods.- Harmonic interpolation.- Higher order commutators of singular integral operators.- On interpolation between H1 and H?.- Interpolation theory and duality.- The K-functional for symmetric spaces.- Applications of interpolation with a function parameter to Lorentz, Sobolev and besov spaces.- On the smoothness of fourier transforms.- Rearrangements of BMO functions and interpolation.- Descriptions of some interpolation spaces in off-diagonal cases.- N.B. - Some of these problems were prepared already for the 1982 conference.

Anbieter: Thalia AT
Stand: 24.11.2020
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Mean Oscillations and Equimeasurable Rearrangem...
35,30 € *
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Various applications of equimeasurable function rearrangements to the 'best constant'-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics. TOC: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.

Anbieter: Thalia AT
Stand: 24.11.2020
Zum Angebot