Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases

Authors
Wu, Qiang Yang, Da Chun
Citation
Wu, Qiang et Yang, Da Chun, Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases, Acta mathematica Sinica. English series (Print) , 21(1), 2004, pp. 81-94
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
1
Year of publication
2004
Pages
81 - 94
Database
ACNP
SICI code
Abstract
In this paper, two classes of closely related multilinear singular and fractional integrals, which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.