Boundedness for Commutators of Bilinearθ-Type Calderón-Zygmund Operators on Nonhomogeneous Metric Measure Spaces

Abstract

Let(X,d,μ)be a nonhomogeneous metric measure space. In this paper, the boundedness for commutators generated by bilinearθ-type Calderón-Zygmund operators andRBMO(μ)functions on(X,d,μ)is obtained.

Bilinear Θ$\Theta$‐type Calderón–Zygmund operators and their commutators on product generalized fractional mixed Morrey spaces

“…Recently, Lu and Wang [32] introduced a new class of generalized Morrey spaces, and showed that the $$\widetilde{T}$$ and the $$[b_{1},b_{2},\widetilde{T}]$$ are bounded on generalized Morrey spaces $$\mathcal {L}^{p,\varphi,\kappa }(\mu)$$ over nonhomogeneous metric measure spaces. More research on various bilinear $$\theta$$‐type Calderón–Zygmund operators can be seen in [28–30, 46, 51].…”