Marcinkiewicz integral on hardy spaces
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In this paper we prove that the Marcinkiewicz integral μΩ is an operator of type (H1,L1) and of type (H1,∞,L1,∞). As a corollary of the results above, we obtain again the the weak type (1,1) boundedness of μΩ, but the smoothness condition assumed on Ω is weaker than Stein's condition.
2000 Mathematics Subject Classification42B25 42B30
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