Applications of Orlicz spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
2002
|
| Series: | Pure and applied mathematics
250 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XI, 464 S. |
| ISBN: | 0824707303 |
Staff View
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Record in the Search Index
| _version_ | 1819312658908708864 |
|---|---|
| adam_text | APPLICATIONS OF ORLICZ SPACES M. M. RAO UNIVERSITY OF CALIFORNIA,
RIVERSIDE RIVERSIDE, CALIFORNIA Z. D. REN SUZHOU UNIVERSITY SUZHOU,
PEOPLE S REPUBLIC OF CHINA MARCEL DEKKER, INC. NEW YORK * BASEL CONTENTS
PREFACE V CHAPTER I. INTRODUCTION AND BACKGROUND MATERIAL 1 1.1
./V-FUNCTIONS AND QUANTITATIVE INDICES 1 1.2 SOME BASIC RESULTS ON L $
-SPACES 13 1.3 NOTES ON YOUNG FUNCTIONS AND GENERAL MEASURES 28 1.4
INTERPOLATION RESULTS ON ORLICZ SPACES 35 BIBLIOGRAPHICAL NOTES 47
CHAPTER II. NONSQUARE AND VON NEUMANN-JORDAN CONSTANTS 49 2.1
INTRODUCTION 49 2.2 LOWER BOUNDS FOR J{L^) AND C NJ {L*) 53 2.3 UPPER
BOUNDS FOR J(L^) AND J(L*) 59 2.4 SHARP BOUNDS FOR CJVJ(^ C$S) ) AND C
NJ (L* ) 66 BIBLIOGRAPHICAL NOTES 72 CHAPTER III. NORMAL STRUCTURE AND
WCS COEFFICIENTS 7 3 3.1 INTRODUCTION 73 3.2 WCS AND JV-COEFFICIENTS OF
ORLICZ FUNCTION SPACES 78 3.3 WCS COEFFICIENTS OF ORLICZ SEQUENCE SPACES
90 3.4 MORE ON ORLICZ SEQUENCE SPACES 107 BIBLIOGRAPHICAL NOTES 116
CHAPTER IV. JUNG CONSTANTS OF ORLICZ SPACES 117 4.1 INTRODUCTION TO JUNG
CONSTANTS 117 4.2 LOWER BOUNDS OF JC(L^) AND JC{L*) 124 4.3 BOUNDS FOR
JCIL^) AND JC{L*) 135 4.4 BOUNDS FOR JC(L W ) AND JC(L*) 138 IX X
CONTENTS BIBLIOGRAPHICAL NOTES 145 CHAPTER V. PACKING IN ORLICZ SPACES
147 5.1 PRELIMINARIES 147 5.2 PACKING IN ORLICZ SEQUENCE SPACES 150 5.3
PACKING IN ORLICZ FUNCTION SPACES 167 5.4 PACKING IN REFLEXIVE ORLICZ
SPACES 175 BIBLIOGRAPHICAL NOTES 183 CHAPTER VI. FOURIER ANALYSIS IN
ORLICZ SPACES 184 6.1 PRELIMINARIES ON FOURIER SERIES 184 6.2 CONJUGATE
FUNCTIONS AND ORLICZ SPACES 190 6.3 CONJUGATE SERIES AND CONVERGENCE IN
SUBSETS OF ORLICZ SPACES 199 6.4 A HAUSDORFF-YOUNG THEOREM FOR ORLICZ
SPACES 209 6.5 FOURIER ANALYSIS ON GENERALIZED ORLICZ SPACES 227
BIBLIOGRAPHICAL NOTES 234 CHAPTER VII. APPLICATIONS TO PREDICTION
ANALYSIS 236 7.1 BEST PREDICTIONS WITH CONVEX LOSS 236 7.2 WHEN IS A
PREDICTION OPERATOR LINEAR ? 244 7.3 NONLINEAR PREDICTION FOR
NONREFIEXIVE SPACES 249 7.4 SOME EXTENSIONS TO VECTOR VALUED FUNCTIONS
260 BIBLIOGRAPHICAL NOTES 271 CHAPTER VIII. APPLICATIONS TO STOCHASTIC
ANALYSIS 273 8.1 LARGE DEVIATIONS AND YOUNG FUNCTIONS 273 8.2 INFINITE
DIMENSIONAL EXTENSION AND VECTOR ORLICZ SPACES 293 8.3 REGULARITY OF
STOCHASTIC FUNCTIONS AND ORLICZ SPACES 303 8.4 MARTINGALES AND ORLICZ
SPACES 313 BIBLIOGRAPHICAL NOTES 325 CONTENTS XI CHAPTER IX. NONLINEAR
PDES AND ORLICZ SPACES 327 9.1 ORLICZ-SOBOLEV SPACES FOR PDES 327 9.2
REMOVABLE SINGULARITIES, PDE AND ORLICZ SPACES 345 9.3 STRONG AND WEAK
TYPE INEQUALITIES IN ORLICZ SPACES 356 9.4 COMPOSITION AND NEMITSKY
OPERATORS IN ORLICZ SPACES 368 BIBLIOGRAPHICAL NOTES 378 CHAPTER X.
MISCELLANEOUS APPLICATIONS 380 10.1 BEURLING-ORLICZ ALGEBRAS 380 10.2
RIESZ ANGLES OF ORLICZ SPACES 384 10.3 EMBEDDING THEOREMS FOR SEQUENCE
SPACES 392 10.4 DIFFERENTIABILITY PROPERTIES OF ORLICZ SPACES 402 10.5
^ -SPACES AND APPLICATIONS 411 BIBLIOGRAPHICAL NOTES 436 REFERENCES 437
NOTATION 457 INDEX 461
|
| any_adam_object | 1 |
| author | Rao, Malempati M. 1929- |
| author_GND | (DE-588)119519054 |
| author_facet | Rao, Malempati M. 1929- |
| author_role | aut |
| author_sort | Rao, Malempati M. 1929- |
| author_variant | m m r mm mmr |
| building | Verbundindex |
| bvnumber | BV014371486 |
| callnumber-first | Q - Science |
| callnumber-label | QA323 |
| callnumber-raw | QA323 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)48892607 (DE-599)BVBBV014371486 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014371486 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:03:41Z |
| institution | BVB |
| isbn | 0824707303 |
| language | English |
| lccn | 2002019565 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009844778 |
| oclc_num | 48892607 |
| open_access_boolean | |
| owner | DE-824 |
| owner_facet | DE-824 |
| physical | XI, 464 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spellingShingle | Rao, Malempati M. 1929- Applications of Orlicz spaces Pure and applied mathematics Orlicz spaces Orlicz-Raum (DE-588)4172841-5 gnd |
| subject_GND | (DE-588)4172841-5 |
| title | Applications of Orlicz spaces |
| title_auth | Applications of Orlicz spaces |
| title_exact_search | Applications of Orlicz spaces |
| title_full | Applications of Orlicz spaces M.M. Rao ; Z.D. Ren |
| title_fullStr | Applications of Orlicz spaces M.M. Rao ; Z.D. Ren |
| title_full_unstemmed | Applications of Orlicz spaces M.M. Rao ; Z.D. Ren |
| title_short | Applications of Orlicz spaces |
| title_sort | applications of orlicz spaces |
| topic | Orlicz spaces Orlicz-Raum (DE-588)4172841-5 gnd |
| topic_facet | Orlicz spaces Orlicz-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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