Marcinkiewicz multiplier theorem for the Weyl functional calculus

Let { X j , Y j , T : 1 ≤ j ≤ n } be a basis satisfying the commutation relation for the Heisenberg Lie algebra . Then we obtain a multi-parameter Marcinkiewicz multiplier theorem for the operator defined by m ( X 1 ,..., X n , Y 1 ,..., Y n , T ).

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 258; no. 2; pp. 271 - 290
Main Author Kim, Joonil
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.02.2008
Subjects
Mathematics
Mathematics and Statistics
Primary 42B20
42B25
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Summary:Let { X j , Y j , T : 1 ≤ j ≤ n } be a basis satisfying the commutation relation for the Heisenberg Lie algebra . Then we obtain a multi-parameter Marcinkiewicz multiplier theorem for the operator defined by m ( X 1 ,..., X n , Y 1 ,..., Y n , T ).
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-007-0164-x