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Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures
maximal commutator Calder\'on--Zygmund operator ${\rm RBMO}(\mu)$ Hardy-type space non-doubling measure
2007/12/12
Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of...
SINGULAR MEASURES AND CONVOLUTION OPERATORS
Hardy--Littlewood maximal function Weak type inequalities Singular measures Convolution operators
2007/12/11
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type $(1,1)$ inequalities. As an applicat...