424 citations
- Middle East Technical UniversityTR163 papers
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- A. Alikhanyan National LaboratoryAM149 papers
- Beihang UniversityCN149 papers
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math.FA2019★ 13 cited
The Kolmogorov-Riesz Theorem and Some Compactness Criterions of Bounded Subsets in Weighted Variable Exponent Amalgam and Sobolev Spaces
Ismail Aydin, Cihan Unal
We study totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces. Moreover, this paper includes several detailed generalized results of some compactness cr…
math.FA2019★ 9 cited
Weighted Stochastic Field Exponent Sobolev Spaces and Nonlinear Degenerated Elliptic Problem
Ismail Aydin, Cihan Unal
In this study, we consider weighted stochastic field exponent function spaces and $W_{\vartheta }^{k,p(.,.)}\left( D\times Ω\right…
math.FA2019★ 3 cited
On some properties of relative capacity and thinness in weighted variable exponent Sobolev spaces
Cihan Unal, Ismail Aydin
In this paper, we define weighted relative -capacity and discuss properties of capacity in the space Also, we investigate some prop…