Equimeasurable rearrangements of functions:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Kingston
Queen's Univ.
1971
|
| Series: | Queen's papers in pure and applied mathematics.
No. 28. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V,117 S. |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Pap.e
INTRODUCTION 1
CHAPTER I: EQUIMEASURABLE FUNCTIONS
1. Spectral Measure 6
2 . Spectral Equivalency . . , . 9
CHAPTER II: DECREASING REARRANGEMENTS OF MEASURABLE
FUNCTIONS
3. The Right Inverse of a Decreasing Function .... ?4
4. Decreasing Rearrangement of Measurable
Functions on Finite Measure Spaces 2 7
CHAPTER III: MEASURE PRESERVING TRANSFORMATIONS AND
REARRANGEMENTS
5. Rearrangements on Non atomic Measure Spaces ... hi
6. A Theorem of Ryf f 4.9
7. An Imbedding into a Non atomic Measure Space .. 5?
8. The Decreasing Rearrangements of Sums ......... 55
CHAPTER IV: REARRANGEMENT INEQUALITIES
9. An Integral Inequality of Hardy 57
10 . A Preorder Relation , B1
11. Inequalities with Alternating Signs 72
12. An Inequality of Hardy and Littlewood , 77
13. The Values of an Integral ... BO
14. The Decreasing Rearrangement of a Product ..... isf
Page
CHAPTER V: REARRANGEMENT INVARIANT BANACH FUNCTION
SPACES
15. Banach Function Spaces 89
16. Rearrangement Invariant Banach Function Spaces 94
17. A Relation Between u.r.i. Spaces and u.r.i.
Norms 106
18. A Representation Theorem ¦ 111
CHAPTER VI: SOME EXTENSIONS QF A THEOREM OF HARDY,
LITTLEWOOD AND POLYA
19. A Theorem of Hardy, Littlewood and Pdlya 115
20. Schur Convex Functions 117
21. The sets fi£ and a£ 126
22. Doubly Stochastic Operators 134
CHAPTER VII: SOME RECENT DEVELOPMENTS ON REARRANGEMENTS
OF FUNCTIONS
23. Decreasing Rearrangements on General Measure
Spaces 143
24. Variation Reducing Property of Decreasing
Rearrangements 150
25. Some Extremal and Related Problems 156
26. Hardy Littlewood Majorants in Function Spaces 158
27. Some Extensions of an Interpolation Theorem
of Marcinkiewicz 163
BIBLIOGRAPHY . • 174
|
| any_adam_object | 1 |
| author | Chong, Kong Ming Rice, N. M. |
| author_facet | Chong, Kong Ming Rice, N. M. |
| author_role | aut aut |
| author_sort | Chong, Kong Ming |
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| bvnumber | BV006269496 |
| classification_rvk | SI 380 |
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| discipline | Mathematik |
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| id | DE-604.BV006269496 |
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| indexdate | 2024-07-09T16:42:49Z |
| institution | BVB |
| language | Undetermined |
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| physical | V,117 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics. |
| series2 | Queen's papers in pure and applied mathematics. |
| spelling | Chong, Kong Ming Verfasser aut Equimeasurable rearrangements of functions K. M. Chong ; N. M. Rice* Kingston Queen's Univ. 1971 V,117 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics. No. 28. Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 s Maßtheorie (DE-588)4074626-4 s DE-604 Rice, N. M. Verfasser aut Queen's papers in pure and applied mathematics. No. 28. (DE-604)BV001889470 28 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003961265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chong, Kong Ming Rice, N. M. Equimeasurable rearrangements of functions Queen's papers in pure and applied mathematics. Funktion Mathematik (DE-588)4071510-3 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4071510-3 (DE-588)4074626-4 |
| title | Equimeasurable rearrangements of functions |
| title_auth | Equimeasurable rearrangements of functions |
| title_exact_search | Equimeasurable rearrangements of functions |
| title_full | Equimeasurable rearrangements of functions K. M. Chong ; N. M. Rice* |
| title_fullStr | Equimeasurable rearrangements of functions K. M. Chong ; N. M. Rice* |
| title_full_unstemmed | Equimeasurable rearrangements of functions K. M. Chong ; N. M. Rice* |
| title_short | Equimeasurable rearrangements of functions |
| title_sort | equimeasurable rearrangements of functions |
| topic | Funktion Mathematik (DE-588)4071510-3 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Funktion Mathematik Maßtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003961265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
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