Weighted Compact Commutator of Bilinear Fourier Multiplier Operator

【Author】

Guoen HU;Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute;

【Institution】

Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute;

【Abstract】

Let T_σ be the bilinear Fourier multiplier operator with associated multiplier σ satisfying the Sobolev regularity that sup κ∈Z∥σ_κ∥W~s(R~(2n))< ∞ for some s ∈ (n, 2n]. In this paper, it is proved that the commutator generated by T_σ and CMO(R~n) functions is a compact operator from L~(p1)(R~n, w_1) × L~(p2)(R~n, w_2) to L~p(R~n, ν_w) for appropriate indices p_1, p_2, p ∈ (1, ∞) with1 p=1/ p_1 +1/ p_2 and weights w_1, w_2 such that w = (w_1, w_2) ∈ A_(p/t)(R~(2n)).

【Keywords】

Bilinear Fourier multiplier;;Commutator;;Bi(sub)linear maximal operator;;Compact operator

References

To explore the background and basis of the node document

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Total: 22 articles

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