Abstract. For a wide family of multivariate Hausdorff operators, a new condition for the boundedness of an operator from this family on the real Hardy space $H^1({\msbm R}^n)$ is proved.
AMS Subject Classification
(1991): 47B38, 42B10; 42B35
Keyword(s):
Hausdorff operator,
real Hardy space,
atomic decomposition,
eigenvalues
Received April 24, 2008. (Registered under 6049/2009.)
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