Seminário Análise Funcional e Aplicações 

09/01/2015, 14:30 — 15:30 — Sala P3.10, Pavilhão de Matemática
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

On compactness of commutators of convolution type operators with PQC data

Applying the theory of Calderón- Zygmund operators, we study the compactness of commutators of multiplication operators $aI$ and convolution operators $W^0(b)$ on weighted Lebesgue spaces with Muckenhoupt weights on the real line for some clases of piecewise quasicontinuous functions $a,b$. Applications of these results are considered. The talk is based on a joint work with Isaac De la Cruz Rodríguez and Iván Loreto Hernández.