A. Karlovich

activity

20002011

most citedAlgebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points

6 citations · 17 across the 17 of their papers we have counts for

collaborators

Showing 2007Show all

5 papers · 1 filter

math.FA2007

Singular integral operators on variable Lebesgue spaces with radial oscillating weights

Alexei Yu. Karlovich

We prove a Fredholm criterion for operators in the Banach algebra of singular integral operators with matrix piecewise continuous coefficients acting on a variable Lebesgue space w…

math.FA2007

Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces

Alexei Yu. Karlovich

We prove higher order asymptotic formulas for determinants and traces of finite block Toeplitz matrices generated by matrix functions belonging to generalized Hölder spaces with ch…

math.FA2007★ 1 cited

On the interpolation constant for subadditive operators in Orlicz spaces

Alexei Yu. Karlovich, Lech Maligranda

Let $1 \leq p < q \leq \infty$ and let $T$ be a subadditive operator acting on $L^{p}$ and $L^{q}$ . We prove that $T$ is bounded on the Orlicz space $L^{ϕ}$ , where $ϕ^{-1}(u)=u^{1/p}ρ(u^{1/q-1/…

math.FA2007

Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces

Alexei Yu. Karlovich

We prove a higher order asymptotic formula for traces of finite block Toeplitz matrices with symbols belonging to Hölder-Zygmund spaces. The remainder in this formula goes to zero…

math.FA2007

Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm

Alexei Yu. Karlovich

Suppose $Γ$ is a Carleson Jordan curve with logarithmic whirl points, $ϱ$ is a Khvedelidze weight, $p : Γ \to (1, \infty)$ is a continuous function satisfying $|p(τ)-p(t)|\le -\ma…