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A Class of Bilinear forms on Dirichlet type Spaces
Author(s) -
Wu Zhijian
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/54.3.498
Subject(s) - bilinear interpolation , mathematics , pure mathematics , type (biology) , class (philosophy) , dirichlet distribution , bilinear form , function space , bilinear map , mathematical analysis , epistemology , vector space , philosophy , ecology , biology , statistics , boundary value problem
This paper characterizes the boundedness of certain bilinear forms on Dirichlet type spaces. The main tool is the Littlewood‐Paley theory. Applications to the preduals of the related function spaces including BMO and Bloch spaces, and the boundedness of certain commutators are also indicated.