R^n上的多线性奇异积分

本文研究Ｒ＾ｎ上多线性奇异积分在Ｔｒｉｅｂｅｌ－Ｌｉｚｏｒｋｉｎ空间中的性质。     

Cauchy Integral Formulae in Rn

In this note p((D)) =(D)m + b1(D)m-1+…+bm is a polynomial Dirac operator in Rn,where (D) =∑nj=1 ej ?(e)/(e)xj is a standard Dirac operator in Rn,bj are the complex constant coefficients.In this note we...     

Transcendental submanifolds of Rn

In this paper we show how the restriction of the complex algebraic cycles to real part of a complex algebraic set is related to the real algebraic cycles of the real part. As a corollary we give examples of smooth submanifolds of a Euclidean space which can not be isotoped to real parts of complex nonsingular subvarieties in the corresponding projective space. Dedicated to memory of Mario Raimondo     

H p (Rn) is equidistributed withL p (Rn)

Let 0<p<∞. LetH ^p (R ⁿ) be the real variable Hardy spaces defined by Stein and Weiss. Let L^p(R ⁿ) be the usual Lebesgue space. It is shown that forf∈L ^p there is an with the distribution functions of |f| and identical and . The converse is trivially true. Research partially supported by NSF Grant #MCS77-02213.     

蒙日圆的n维推广

本文使用矩阵的工具将平面蒙日圆的结论推广到n维欧式空间.     

Pointwise fourier inversion and localisation in Rn

Journal of Fourier Analysis and Applications -