On the Boundedness of Singular Integral Operators in Symmetric Spaces

• Date: 2000
• Main Authors: Peleshenko, B. I., Пелешенко, Б. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4500
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the integral convolution operators \(T_\varepsilon f\left( x \right) = \int\limits_{|x - y| > \varepsilon } {k\left( {x - y} \right)f\left( y \right)dy}\) defined on spaces of functions of several real variables. For the kernels k(x) satisfying the Hörmander condition, we esta...