In this paper,let L1 and L2 be self-adjoint operators.We assume that e-tL1 and e-tL2 satisfy off-diagonal estimates of the type(GGEp0,m)for some p0 ∈[1,2)and introduce the area integral S associated with L1 and L2 on the product space Rn1 × Rn2.We prove that S is bounded on Lp for p ∈(p0,p'0).
维普
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