On the Boundedness of Singular Integral Operators in Symmetric Spaces
Abstract
We consider the integral convolution operators Tεf(x)=∫|x−y|>εk(x−y)f(y)dy defined on spaces of functions of several real variables. For the kernels k(x) satisfying the Hörmander condition, we establish necessary and sufficient conditions under which the operators {T ε} are uniformly bounded from Lorentz spaces into Marcinkiewicz spaces.Downloads
Published
25.07.2000
Issue
Section
Short communications
How to Cite
Peleshenko, B. I. “On the Boundedness of Singular Integral Operators in Symmetric Spaces”. Ukrains’kyi Matematychnyi Zhurnal, vol. 52, no. 7, July 2000, pp. 988-93, https://umj.imath.kiev.ua/index.php/umj/article/view/4500.