Video library: D. V. Prokhorov, V. D. Stepanov, Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis

VIDEO LIBRARY


International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 26, 2015 11:40, Moscow, Steklov Mathematical Institute of RAS

Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis D. V. Prokhorov^a, V. D. Stepanov^bc ^a Computer Centre Far-Eastern Branch of Russian Academy of Sciences ^b Steklov Mathematical Institute of Russian Academy of Sciences ^c Peoples' Friendship University of Russia
Abstract: Weighted $L^p$–$L^r$ inequalities with arbitrary measurable non-negative weights for positive quasilinear integral operators with Oinarov's kernel on the semiaxis are characterized. Application to the boundedness of maximal operator in the Lorentz $\Gamma$-spaces is given. Language: English