Functional Analysis and Applications Seminar 

20/12/2013, 15:00 — 16:00 — Room P3.10, Mathematics Building
Natasha Samko, Luleå University of Technology, Sweden and CEAF

Note on a two-weight estimate for the maximal operator in local Morrey spaces

We obtain general type sufficient conditions and necessary conditions on a pair $(u;v)$ of weights $u$ and $v$ for the boundedness of the maximal operator from a generalized local Morrey space with the weight $u$ to another one with the weight $v$, with some ”logarithmic gap” between these conditions. Both the conditions formally coincide if we omit a certain logarithmic factor in these conditions.