The great response to the publication of my book Classical and Modern Fourier Analysis in
2004 has been especially gratifying to me. I was delighted when Springer offered to publish …

In this paper, our object of investigation is the maximal singular integrals with rough kernels
associated to polynomial mapping P as well as the corresponding compound submanifolds …

We establish the bounds of Marcinkiewicz integrals associated to surfaces of revolution
generated by two polynomial mappings on Triebel–Lizorkin spaces and Besov spaces when …

In this paper, we systematically study jump and variational inequalities for rough operators,
whose research have been initiated by Jones et al. More precisely, we show some jump and …

Chapter 9 Convolution Calderon-Zygmund singular integral operators with rough kernels Page
1 Chapter 9 Convolution Calderon-Zygmund singular integral operators with rough kernels L …

) = 0, (1) T(f)(x) = pv )|y| (2) (f)(x) = sup e>0 \y\>e )|y| (3) (4) Page 1 M athematical I nequalities &
A pplications Volume 2, Number 1 (1999), 73–81 A NOTE OF A ROUGH SINGULAR INTEGRAL …

Let b∈ BMO (Rn) and TΩ be the singular integral operator with kernel Ω (x)/| x| n, where Ω is
homogeneous of degree zero, integrable, and has mean value zero on the unit sphere Sn …

This paper is devoted to studying singular integrals and maximal operators with rough
kernels in the mixed homogeneity setting. Assuming the kernels satisfy certain rather weak …

In the present paper, we consider the boundedness of Marcinkiewicz integral operator µO, h,
f along a surface Γ={x= φ (| y|) y/| y|)} on the Triebel-Lizorkin space F p, q α (ℝ n) for Ω …

In this paper, the multiple parametric Marcinkiewicz integral operators with mixed
homogeneity along surfaces are studied. The L p-mapping properties for such operators are …