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Information × Registration Number 0211U008713, 0106U001415 , R & D reports Title The function theory methods in harmonic analysis and integral operators with shift popup.stage_title Head Storozhenko Eleonora Oleksandrivna, Registration Date 08-09-2011 Organization Odessa I.I.Mechnikov National University, Research Institute "Astronomical Observatory" popup.description2 Estimates are obtained for functions from more general spaces, namely, from Lorentz M-spaces. The estimates of integral module of continuity for the functions satisfying generalized Poincare's inequality are obtained. The exact indexes of integrability for the functions satisfying generalized Muckenhoupt's condition A1 on rectangles are obtained in the multidimensional case. An exact estimate is obtained for a nonincreasing equimeasurable rearrangement of a function of two variables from the Muckenhoupt class A1. Product Description popup.authors Адамов О.О. Андрiєнко В.О. Вартанян Г.М. Коваленко Л.Г. Кореновський А.О. Леончик Є.Ю. Лисенко З.М. Матвіюк Л.В. Роженко Н.О. Стороженко Е.О. popup.nrat_date 2020-04-02 Close