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Title page ......Page 1 Date-line ......Page 2 Dedication ......Page 3 Preface ......Page 4 CONTENTS ......Page 8 CHAPTER I SOME COVERING THEOREMS ......Page 12 1. Covering theorems of the Besicovitch type ......Page 13 2. Covering theorems of the Whitney type ......Page 20 3. Covering theorems of the Vitali type ......Page 30 CHAPTER II THE HARDY-LITTLEWOOD MAXIMAL OPERATOR ......Page 46 1. Weak type (1,1) of the maximal operator ......Page 47 2. Differentiation bases and the maximal operator associated to them ......Page 53 3. The maximal operator associated to a product of differentiation bases ......Page 55 4. The rotation method in the study of the maximal operator ......Page 62 5. A converse inequality for the maximal operator ......Page 67 6. The space $L(1+\log^+L)$. Integrability properties of the maximal operator ......Page 71 CHAPTER III THE MAXIMAL OPERATOR AND THE DIFFERENTIATION PROPERTIES OF A BASIS ......Page 76 1. Density bases. Theorems of Busemann-Feller ......Page 77 2. Individual differentiation properties ......Page 88 3. Differentiation properties for classes of functions ......Page 92 1. The interval basis $\mathcal{B}_2$ does not satisfy the Vitali property

Who reads Differentiation of Integrals in R to Nth Power (Lecture notes in mathematics ; 481)?

Author

Miguel de Guzḿan

Publisher

Springer-Verlag

Published

1975

Language

EN

ISBN

9783540073994

Category

nonfiction

Subjects

Mathematics, Stem