Odeljenje za matematiku, 9. decembar 2016.

• 06. Decembar,  2016
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Naredni sastanak Seminara biće održan u petak, 9. decembra 2016. u sali 301f Matematičkog instituta SANU sa početkom u 14:15
časova.

Predavač: Alexey Karapetyants, Southern Federal University, Russia

Naslov predavanja: ON SOME NEW CLASSES OF SPACES OF ANALYTIC FUNCTIONS WITH NONSTANDARD GROWTH

Apstrakt:

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.

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