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Information × Registration Number 0216U002569, 0111U005876 , R & D reports Title Investigation of embeddings of functional classes and their applications popup.stage_title Head Korenovskyi Anatolii, Registration Date 29-03-2016 Organization Odesa I.I.Mechnikov national university.Pervomaisk institute. popup.description2 The cycle of research related to determining properties of functions and operators defined in terms of subtractions of integral means has ended. Precise estimates of equimeasurable rearrangements of functions that satisfy reverse Holder and Jensen inequalities in terms of subtractions of integral means of different degrees in anisotropic case have been found. The operator of continuation of functions with bounded mean oscillation from segment to number line with condition of asymptotically best norm of continuation was build. The mean integral oscillation of even continuation of logarithmic function from semiaxis to the full number line was calculated. Bernstein type inequality for fractional-logarithmic derivatives of complex polynomials and analogue of triangle type inequality in L_0 space were obtained. New estimates of constants in Sege inequality in L_0 space were obtained. Fredgolm theory of one plane problem with displacement and conjugation for pair of functions was constructed. Properties of Bergman projector in ring and his its integral mapping on stripe. Product Description popup.authors Адамов О. М. Вартанян Г. М. Коваленко Л. Г. Леончик Є. Ю. Лисенко З. М. Шанин Р. В. popup.nrat_date 2020-04-02 Close