output
19992024
most citedDirect laser printing of chiral plasmonic nanojets by vortex beams

150 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

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.FA2019★ 5 cited

Spline wavelet decomposition in weighted function spaces

Elena P. Ushakova

Battle-Lemarie wavelet systems of natural orders are established in the paper. The main result of the work is decomposition theorem in Besov and Triebel-Lizorkin spaces with local…

math.FA2017★ 9 cited

Localisation property of Battle-Lemarié wavelets' sums

Elena P. Ushakova, Kristina E. Ushakova

Explicit formulae are given for a type of Battle-Lemarié scaling functions and related wavelets. Compactly supported sums of their translations are established and applied to alter…

math.FA2015

Hardy-Steklov operators and embedding inequalities of Sobolev type

Maria G. Nasyrova, Elena P. Ushakova

We characterize a weighted norm inequality which corresponds to the embedding of a class of absolutely continuous functions into the fractional order Sobolev space. The auxiliary r…

math.FA2012★ 11 cited

On estimates of Schatten-von Neumann norms of Hardy-Steklov operator

Elena P. Ushakova

Upper and lower estimates are obtained for the Schatten-von Neumann norms of the Hardy-Steklov operator in Lebesgue function spaces on the semi-axis.

math.FA2011

On upper estimates for approximation numbers of a Laplace type transformation

Elena P. Ushakova

We deal with a real valued integral operator L of Laplace transformation type acting between Lebesgue spaces on the semi-axis. Sufficient conditions for belonging L to Schatten typ…