Одељење за математику, 9. децембар 2016.

• 06. Децембар, 2016
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Наредни састанак Семинара биће одржан у петак, 9. децембра 2016. у сали 301ф Математичког института САНУ са почетком у 14:15
часова.

Предавач: Alexey Karapetyants, Southern Federal University, Russia

Наслов предавања: ON SOME NEW CLASSES OF SPACES OF ANALYTIC FUNCTIONS WITH NONSTANDARD GROWTH

Апстракт:

We introduce and study new general classes of spaces (analytic functions) of amalgam type using variety of norms for definition: such as variable exponent Lebesgue, Holder norm, Morrey-Campanato norm, Orlicz norm, their modifications and generalizations. The introduction of such mixed type norms allows to characterize with more accuracy the boundary behavior of analytic functions in these spaces and (or) the behavior of symbols of operators in these spaces (Toeplitz type operators). We propose combination of modern approaches developed recently for spaces of functions of nonstandard growth (real analysis) and specific approaches and methods developed earlier for the study of spaces of analytic functions (Bergman-type) and special classes of Toeplitz operators with unbounded symbols acting on these spaces.