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A singular integral operator related to block spaces

A singular integral operator related to block spaces

Let h(t) be an L^{\infty} function on (0, \infty) , \Omega(y') be a B_{q}^{0,0} function on the unit sphere satisfying the mean zero property (1.1) and P_{N}(t) be a real polynomial on R of degree N satisfying P_{N}(0)=0 .We prove that the singular integral operatoris bounded in L^{p}(R^{n}) for 1<p<\infty …