Representation Theorems in Hardy-Orlicz Spaces of the Upper Half Plane

被引:0
|
作者
Dje, Jean-Marcel Tanoh [1 ]
Feuto, Justin [2 ]
机构
[1] Univ Virtuelle Cote Ivoire, Unite Rech & Expertises Numer, Abidjan, Cote Ivoire
[2] Univ Felix Houphouet Boigny Abidjan Cocody, Abidjan, Cote Ivoire
关键词
D O I
10.1007/978-3-031-66375-8_2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this chapter, we give Poisson and Cauchy representation theorems in Hardy-Orlicz spaces on the upper half plane. We use these theorems for the construction of dual spaces of certain Hardy-Orlicz spaces and also for the characterization of some classical operators in Orlicz spaces.
引用
收藏
页码:27 / 68
页数:42
相关论文
共 50 条
  • [1] CARLESON EMBEDDINGS FOR HARDY-ORLICZ AND BERGMAN-ORLICZ SPACES OF THE UPPER-HALF PLANE
    Dje, Jean Marcel Tanoh
    Sehba, Benoit Florent
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2021, 64 (02) : 163 - 201
  • [2] HARMONIC HARDY-ORLICZ SPACES
    Kilpelainen, Tero
    Koskela, Pekka
    Masaoka, Hiroaki
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2013, 38 (01) : 309 - 325
  • [3] A NOTE ON HARDY-ORLICZ SPACES
    ZHANG, JZ
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1990, 33 (01): : 29 - 33
  • [4] Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces
    Charpentier, Stephane
    Sehba, Benoit
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [5] ISOMETRIC MULTIPLICATION OF HARDY-ORLICZ SPACES
    DEEB, W
    KHALIL, R
    MARZUQ, M
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 34 (02) : 177 - 189
  • [6] HARDY-ORLICZ SPACES OF CONFORMAL DENSITIES
    Benedict, Sita
    CONFORMAL GEOMETRY AND DYNAMICS, 2015, 19 : 146 - 158
  • [7] Composition operators on Hardy-Orlicz spaces
    Rodriguez-Piazza, Luis
    TOPICS IN COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 561 : 91 - 133
  • [8] Composition operators on Hardy-Orlicz spaces
    Liu, LF
    Cao, GF
    Wang, XF
    ACTA MATHEMATICA SCIENTIA, 2005, 25 (01) : 105 - 111
  • [9] COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES
    刘立芳
    曹广福
    王晓峰
    ActaMathematicaScientia, 2005, (01) : 105 - 111
  • [10] ON HARDY-ORLICZ SPACES .2.
    LESNIEWICZ, R
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1967, 15 (04): : 277 - +