The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator
Keyword(s):
The authors prove that Marcinkiewicz integral operator is not only are bounded onLp, for1<P<∞, but also a bounded map fromL1(Rn)to weakL1(Rn). Meanwhile, theBMOL-boundedness and(HL1,L1)-boundedness are also obtained. Finally, theLp-boundedness and(L∞,BMOL)-boundedness for the commutator of Marcinkiewicz integral of schrödinger type are established.
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