2010•Advances in MathematicsRequires access
On the Parabolic Singular Integral and Maximal Operators With Rough Kernel Belonging to F_β(S~(n-1))
Chen Dong-xiang, Shanzhen Lu
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Abstract
The authors consider the parabolic singular integral operator T_k and the parabolic maximal singular integral operators sup_(K∈M({Ω_j}))|T_K| and M_Ωarising from rough kernels satisfying an F_β(S~(n-1))-type condition and obtain the L~p-boundedness.Our results essentially extend and improve some known results.