15 citations · 87 across the 48 of their papers we have counts for
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On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
Amiran Gogatishvili, Yoshihiro Sawano, Tuğçe Ünver
In this paper, we establish necessary and sufficient conditions for continuous embeddings between weighted local Morrey-type spaces and weighted complementary local Morrey-type spa…
The Hardy averaging operator between Orlicz spaces and a new gauge functional characterizing a given Orlicz space
Amiran Gogatishvili, Ron Kerman, Susanna Spektor
We prove that the largest Orlicz space into which the Hardy averaging operator maps coincides with the largest rearrangement-invariant (r.i.) space mapping into that space; in othe…
Applications of Interpolation theory to the regularity of some equasilinear PDEs
Irshaad Ahmed, Alberto Fiorenza, Maria Rosaria Formica +2
We present some regularity results on the gradient of the weak or entropic-renormalized solution to the homogeneous Dirichlet problem for the quasilinear equations of the form…
New characterization of weighted inequalities involving superposition of Hardy integral operators
Amiran Gogatishvili, Tuğçe Ünver
Let and . We characterize the validity of the inequality for the composition of the Hardy operator, \begin{equation*} \bigg(\int_a^b \bigg(\int_…
Quasilinear P.D.Es, Interpolation spaces and Hölderian mappings
Irshaad Ahmed, Alberto Fiorenza, Maria Rosaria Formica +3
As in the work of Tartar ( Tartar L. Interpolation non linéaire et régularité, 9, Journal of Functional Analysis, (1972), 469-489) we developed here some new results on non linear…
Embeddings Between weighted local Morrey-type spaces
Amiran Gogatishvili, Tuğçe Ünver
In this paper certain -dimensional inequalities are shown to be equivalent to the inequalities in the one-dimensional setting. By this means, embeddings between weighted local M…