Seminario: “On some new Bergman type spaces of functions with nonstandard growth”

Giovedì 9 Marzo 2017, ore 12:15 - Aula 2BC30 - Alexey Karapetyants


Giovedì 9 Marzo 2017 alle ore 12:15 in Aula 2BC30, Alexey Karapetyants (Southern Federal University e Don State Technical University di Rostov sul Don) terrà un seminario dal titolo “On some new Bergman type spaces of functions with nonstandard growth”.

We present a general approach to the definition of new mixed norm Bergman space on the unit disc. In our definition the sequence of norms in some general Banach space X of (distribution) Fourier coefficients belongs to lq. We study a problem of boundedness of Bergman projection in this general setting. We apply this general approach for the new concrete cases when the space X is either variable exponent Lebesgue space, (generalized) Orlicz, Morrey and Orlicz-Morrey type. Some nonstandard behavior in some particular, but important cases, is revealed.

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