Harmonic analysis on spaces of homogeneous type

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Hauptverfasser: Deng, Dong-Gao 1935- (VerfasserIn), Han, Yongsheng 1945- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 2009
Schriftenreihe:Lecture notes in mathematics 1966
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Datensatz im Suchindex

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adam_text Contents Introduction .................................................. 1 1 Calderón-Zygmund Operator on Space of Homogeneous Type ..................................................... 9 1.1 Introduction ........................................... 9 1.2 Definition of Calderón-Zygmund Operators on Spaces of Homogeneous Type ..................................... 9 1.3 Littlewood-Paley Analysis on Spaces of Homogeneous Type .. 15 1.4 The Tl Theorem on Spaces of Homogeneous Type .......... 19 2 The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces ........................................ 27 3 Wavelet Expansions on Spaces of Homogeneous Type ..... 39 3.1 Introduction ........................................... 39 3.2 The Theory of Erames .................................. 41 3.3 Approximation to the Identity and Basic Estimates ......... 43 3.4 Calderón s Identity on Spaces of Homogeneous Type ........ 52 3.5 Wavelet Expansions on Spaces of Homogeneous Type ....... 73 4 Wavelets and Spaces of Functions and Distributions ...... 91 4.1 Introduction ........................................... 91 4.2 Comparison Properties of Wavelet Coefficients ............. 92 4.3 Holder Spaces .......................................... 97 4.4 Lebesgue and Generalized Sobolev Spaces ................. 101 4.5 Wavelets, the Hardy and BMO Spaces .................... 105 4.6 Besov Spaces on Spaces of Homogeneous Type ............. 115 4.7 The Tl Type Theorems ................................. 116 5 Littlewood-Paley Analysis on Non Homogeneous Spaces .. 137 5.1 Introduction ...........................................137 5.2 Littlewood-Paley Theory on Non Homogeneous Spaces ......139 xii Contents 5.3 The Π Theorem on Non Homogeneous Spaces .............143 5.4 The Besov Space on Non Homogeneous Spaces .............145 References ....................................................149 Index .........................................................153
any_adam_object 1
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Han, Yongsheng 1945-
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series Lecture notes in mathematics
series2 Lecture notes in mathematics
spellingShingle Deng, Dong-Gao 1935-
Han, Yongsheng 1945-
Harmonic analysis on spaces of homogeneous type
Lecture notes in mathematics
Analyse harmonique
Espaces de types homogène
Harmonische Analyse - Homogener Raum
Harmonic analysis
Spaces of homogeneous type
Homogener Raum (DE-588)4025787-3 gnd
Harmonische Analyse (DE-588)4023453-8 gnd
subject_GND (DE-588)4025787-3
(DE-588)4023453-8
title Harmonic analysis on spaces of homogeneous type
title_auth Harmonic analysis on spaces of homogeneous type
title_exact_search Harmonic analysis on spaces of homogeneous type
title_full Harmonic analysis on spaces of homogeneous type Donggao Deng ; Yongsheng Han
title_fullStr Harmonic analysis on spaces of homogeneous type Donggao Deng ; Yongsheng Han
title_full_unstemmed Harmonic analysis on spaces of homogeneous type Donggao Deng ; Yongsheng Han
title_short Harmonic analysis on spaces of homogeneous type
title_sort harmonic analysis on spaces of homogeneous type
topic Analyse harmonique
Espaces de types homogène
Harmonische Analyse - Homogener Raum
Harmonic analysis
Spaces of homogeneous type
Homogener Raum (DE-588)4025787-3 gnd
Harmonische Analyse (DE-588)4023453-8 gnd
topic_facet Analyse harmonique
Espaces de types homogène
Harmonische Analyse - Homogener Raum
Harmonic analysis
Spaces of homogeneous type
Homogener Raum
Harmonische Analyse
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017002740&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000676446
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AT hanyongsheng harmonicanalysisonspacesofhomogeneoustype