Photo by bernardhermant from unsplash
We establish the boundedness and continuity of parametric Marcinkiewicz integrals associated to homogeneous compound mappings on Triebel-Lizorkin spaces and Besov spaces. Here the integral kernels are provided with some rather… Click to show full abstract
We establish the boundedness and continuity of parametric Marcinkiewicz integrals associated to homogeneous compound mappings on Triebel-Lizorkin spaces and Besov spaces. Here the integral kernels are provided with some rather weak size conditions on the unit sphere and in the radial direction. Some known results are naturally improved and extended to the rough case.
Keywords:
boundedness continuity;
mappings triebel;
marcinkiewicz integrals;
associated homogeneous;
triebel lizorkin;
integrals associated
Journal Title: Frontiers of Mathematics in China
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Frontiers of Mathematics in China
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!