17 citations · 24 across the 5 of their papers we have counts for
6 papers
Fractional integration operators of variable order: continuity and compactness properties
Mikhail Lifshits, Werner Linde
Let a:[0,1] -> R be a Lebesgue-almost everywhere positive function. We consider the Riemann-Liouville operator R^a of variable order a(.) as an operator from L_p[0,1] to L_q[0,1].…
Random Gaussian sums on trees
Mikhail Lifshits, Werner Linde
Let be a tree with induced partial order . We investigate centered Gaussian processes represented as for giv…
Compactness properties of weighted summation operators on trees - the critical case
Mikhail Lifshits, Werner Linde
The aim of this paper is to provide upper bounds for the entropy numbers of summation operators on trees in a critical case. In a recent paper [10] we elaborated a framework of wei…
Compactness Properties of Weighted Summation Operators on Trees
Mikhail Lifshits, Werner Linde
We investigate compactness properties of weighted summation operators as mapping from into for some . Those operators are defined…
Small deviations of stable processes and entropy of the associated random operators
Frank Aurzada, Mikhail Lifshits, Werner Linde
We investigate the relation between the small deviation problem for a symmetric -stable random vector in a Banach space and the metric entropy properties of the operator generat…
Small Deviations of Gaussian Random Fields in --Spaces
Mikhail Lifshits, Werner Linde, Zhan Shi
We investigate small deviation properties of Gaussian random fields in the space where is an arbitrary finite compactly supported Borel measure. Of special intere…