17 citations · 24 across the 5 of their papers we have counts for
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math.FA2012
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].…
math.FA2010
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…
math.FA2010★ 17 cited
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…