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math.FA2020★ 6 cited
Images of integration operators in weighted function spaces
Elena P. Ushakova
Images of integration operators of natural orders are considered as elements of Besov and Triebel--Lizorkin spaces with local Muckenhoupt weights on . The results con…
math.FA2020
On weighted Hardy inequality with two-dimensional rectangular operator -- extension of the E. Sawyer theorem
V. D. Stepanov, E. P. Ushakova
A characterization is obtained for those pairs of weights and on , for which the two--dimensional rectangular integration operator is bounded from a weighte…