Description 
1 online resource (xiv, 201 pages) : illustrations 
Contents 
Preface  0. Introduction and notation. 0.1. Notational conventions  1. Carlson's inequalities. 1.1. Carlson's proof. 1.2. Hardy's proofs. 1.3. An alternate proof. 1.4. Carlson's inequality for finite sums  2. Some extensions and complements of Carlson's inequalities. 2.1. Gabriel. 2.2. Levin. 2.3. Caton. 2.4. Bellman. 2.5. Two discrete Carlson byproducts. 2.6. Landau and LevinStec̮kin. 2.7. Some extensions of the Landau and LevinStec̮kin inequalities. 2.8. Proofs. 2.9. LevinGodunova. 2.10. More about finite sums  3. The continuous case. 3.1. Beurling. 3.2. Kjellberg. 3.3. Bellman. 3.4. Sz. Nagy. 3.5. Klefsjö. 3.6. Hu. 3.7. YangFang. 3.8. A continuous Landau type inequality. 3.9. Integrals on bounded intervals  4. Levin's theorem  5. Some multidimensional generalizations and variations. 5.1. Some preliminaries. 5.2. A sharp inequality for cones in [symbol]. 5.3. Some variations on the multidimensional theme. 5.4. Some further generalizations  6. Some Carlson type inequalities for weighted Lebesgue spaces with general measures. 6.1. The basic case. 6.2. The product measure case  two factors. 6.3. The general product measure case  7. Carlson type inequalities and real interpolation theory. 7.1. Interpolation of normed spaces. 7.2. The real interpolation method. 7.3. Embeddings of real interpolation spaces  8. Further connection to interpolation theory, the Peetre [symbol] method. 8.1. Introduction. 8.2. Carlson type inequalities as sharpenings of Jensen's inequality. 8.3. The Peetre interpolation method and interpolation of Orlicz spaces. 8.4. A Carlson type inequality with blocks. 8.5. The CalderónLozanovskiǐ construction on Banach lattices  9. Related results and applications. 9.1. A generalization of Redheffer. 9.2. Sobolev type embeddings. 9.3. A local HausdorffYoung inequality. 9.4. Optimal sampling. 9.5. More on interpolation, the Peetre parameter theorem. 9.6. Carlson type inequalities with several factors. 9.7. Reverse Carlson type inequalities. 9.8. Some further possibilities. 9.9. Necessity in the case of a general measure 
Summary 
This unique volume contains a selection of more than 80 of Yuval Ne'eman's papers, which represent his huge contribution to a large number of aspects of theoretical physics. The works span more than four decades, from unitary symmetry and quarks to questions of complexity in biological systems and evolution of scientific theories. In keeping with the major role, Ne'eman has played in theoretical physics over the last 40 years, a collaboration of very distinguished scientists enthusiastically took part in this volume. Their commentary supplies a clear framework and background for appreciating Yuval Ne'eman's significant discoveries and pioneering contributions 
Bibliography 
Includes bibliographical references (pages 193197) and index 
Notes 
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 

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Print version record 
Subject 
Inequalities (Mathematics)


Interpolation.


Numerical analysis.

Form 
Electronic book

Author 
Larsson, Leo, 1972

LC no. 
2006042168 
ISBN 
1281919241 

9781281919243 

9789812567086 (alk. paper) 

9789812774002 (electronic bk.) 

9812567089 (alk. paper) 

9812774009 (electronic bk.) 
