C. Unal

most citedThree solutions to a Steklov problem involving the weighted p(.)-Laplacian

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math.FA2019

Inclusion theorems for grand Lorentz spaces

Cihan Unal, Ismail Aydin

In this paper, we consider some inclusion theorems for grand Lorentz spaces $L^{p, q)} (X, μ)$ and $Λ_{p), ω}$ where $μ$ is a finite measure on $(X, Σ) .$ Moreo…

math.FA2019

Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces

Cihan Unal

We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant unde…

math.FA2019

Some Properties of Thinness and Fine Topology with Relative Capacity

Cihan Unal, Ismail Aydin

In this paper, we introduce a thinness in sense to a type of relative capacity for weighted variable exponent Sobolev space. Moreover, we reveal some properties of this thinness an…

math.FA2019

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

The Banach Algebra of Functions With Fourier Transforms in Weighted Amalgam Spaces

Cihan Unal, Ismail Aydin

In this paper, we define $A_{ϑ_{1}, ϑ_{2}}^{p, 1, q, r} (G)$ to be space of all functions in $(L_{ϑ_{1}}^{p}, ℓ^{1})$ whose Fourier…

math.FA2019

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 $L_{ϑ}^{p (., .)} (D \times Ω)$ and $W_{\vartheta }^{k,p(.,.)}\left( D\times Ω\right…