# AMU session: “ Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions “

“ Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions “

The AMU regular meeting will take place  at the YSU, faculty  of Mathematics  and Mechanics  (room 245) on the 29th of November  2021 , 17:00.
Prof. Alexey Karapetyants from the Southern Federal University (Rostov-on Done),  Russia  will give a talk on the topic “ Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions “.

Abstract:
We introduce and study the variable generalized H\”older spaces of holomorphic functions over
the unit disc in the complex plane. These spaces are defined either directly in terms of modulus
of continuity or in terms of estimates of derivatives near the boundary. We provide conditions of
Zygmund type for imbedding of the former into the latter and vice versa. We study mapping properties of variable order fractional integrals in the frameworks of such spaces.
This entry was posted in News, Sessions. Bookmark the permalink.