12 citations · 24 across the 4 of their papers we have counts for
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Embeddings between generalized weighted Lorentz spaces
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We give a new characterization of a continuous embedding between two function spaces of type . Such spaces are governed by functionals of type \begin{equation*} \|f\|_{GΓ(r,q;w…
Reduction principle for Gaussian -inequality
Sergi Baena-Miret, Amiran Gogatishvili, Zdeněk Mihula +1
We study interpolation properties of operators (not necessarily linear) which satisfy a specific -inequality corresponding to endpoints defined in terms of Orlicz--Karamata spac…
Weighted inequalities for a superposition of the Copson operator and the Hardy operator
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely \begin{equation*} \bigg(\int_a^b \bigg(\int_t^b \bigg(\int_a^s f(τ)^p…
On Bilinear Hardy Inequality and Corresponding Geometric Mean Inequality
Amiran Gogatishvili, Pankaj Jain, Saikat Kanjilal
The main aim of this paper to provide several scales of equivalent conditions for the bilinear Hardy inequalities in the case with .