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International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 26, 2015 11:40–12:20, Пленарные доклады, Moscow, Steklov Mathematical Institute of RAS
 


Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis

D. V. Prokhorova, V. D. Stepanovbc

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
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MP4 1,032.3 Mb
MP4 261.9 Mb
Materials:
Adobe PDF 46.4 Kb

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D. V. Prokhorov, V. D. Stepanov
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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.

Materials: abstract.pdf (46.4 Kb)

Language: English

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