Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan will hold its next weekly seminar on October 16, 2019, 10:00 a.m., which will feature a report by professor Alik Najafov, main scientific researcher of the Department of Theory of Functions of IMM of the NAS of Azerbaijan, entitled “On some differential properties of small small Sobolev-Morrey spaces”.

In this report new small small Sobolev-Morrey spaces will be constructed. Utilizing integral representation of generalized derivatives of functions defined on  -dimensional domains satisfying flexible horn condition an embedding theorem  is proved in these spaces. Also, it is proved that the generalized derivatives of functions from these spaces satisfy the Holder condition.

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