Add to ORKG[Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко]Several Hardy–type inequalities in a sectorial area and in a ball are obtained. Sharpness of the inequalities is shown. An application to the lower bound of the first eigenvalue for the p–Laplacian in bounded domains is given. 2000 Mathematics Subject Classification: 26D10
MSC 2010: 30C45The object of the present paper is to discuss some radius properties
AbstractLet θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x...
AbstractLet ‖⋅‖ be a norm on Rn. Averaging ‖(ε1x1,…,εnxn)‖ over all the 2n choices of ε→=(ε1,…,εn)∈{...
AbstractIn this paper, it is defined the kth order Sobolev–Hardy space H0,k1(Ω,ϕ) with norm‖u‖1,k,ϕ=...
AbstractThis paper deals with entropy numbers and approximation numbers for compact embeddings of we...
Let $\phi\in \mathscr{S}$ with $\int\phi (x)\, dx=1$, and define $$\phi_t(x)=\frac{1}{t^n}\phi (\fra...
AbstractIn this paper, we give direct, inverse and equivalence approximation theorems for the Bézier...
AbstractLet 0⩽α<∞, 0<p<∞, and p−α>−2. If f is holomorphic in the unit disc D and if ω is a radial we...
AbstractIn [S.G. Samko, B.G. Vakulov, Weighted Sobolev theorem with variable exponent for spatial an...
For $p>\frac{2\lambda}{2\lambda+1}$ with $\lambda>0$, the Hardy spaces $H_{\lambda}^{p}(\mathbb{R}^{...
AbstractThis article investigates the effect of the coefficient f(z) of the critical nonlinearity. F...
In this paper we extend Nakai's result on the boundedness of a general- ized fractional integral ope...
We consider functions f, analytic in the unit disc and of the normalised form f(z)=z+∑k=2∞akzk . For...
In [S.G. Samko, B.G. Vakulov, Weighted Sobolev theorem with variable exponent for spatial and spheri...
In this paper we extend Nakai's result on the boundedness of a general- ized fractional integral ope...
MSC 2010: 30C45The object of the present paper is to discuss some radius properties
AbstractLet θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x...
AbstractLet ‖⋅‖ be a norm on Rn. Averaging ‖(ε1x1,…,εnxn)‖ over all the 2n choices of ε→=(ε1,…,εn)∈{...
AbstractIn this paper, it is defined the kth order Sobolev–Hardy space H0,k1(Ω,ϕ) with norm‖u‖1,k,ϕ=...
AbstractThis paper deals with entropy numbers and approximation numbers for compact embeddings of we...
Let $\phi\in \mathscr{S}$ with $\int\phi (x)\, dx=1$, and define $$\phi_t(x)=\frac{1}{t^n}\phi (\fra...
AbstractIn this paper, we give direct, inverse and equivalence approximation theorems for the Bézier...
AbstractLet 0⩽α<∞, 0<p<∞, and p−α>−2. If f is holomorphic in the unit disc D and if ω is a radial we...
AbstractIn [S.G. Samko, B.G. Vakulov, Weighted Sobolev theorem with variable exponent for spatial an...
For $p>\frac{2\lambda}{2\lambda+1}$ with $\lambda>0$, the Hardy spaces $H_{\lambda}^{p}(\mathbb{R}^{...
AbstractThis article investigates the effect of the coefficient f(z) of the critical nonlinearity. F...
In this paper we extend Nakai's result on the boundedness of a general- ized fractional integral ope...
We consider functions f, analytic in the unit disc and of the normalised form f(z)=z+∑k=2∞akzk . For...
In [S.G. Samko, B.G. Vakulov, Weighted Sobolev theorem with variable exponent for spatial and spheri...
In this paper we extend Nakai's result on the boundedness of a general- ized fractional integral ope...
MSC 2010: 30C45The object of the present paper is to discuss some radius properties
AbstractLet θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x...
AbstractLet ‖⋅‖ be a norm on Rn. Averaging ‖(ε1x1,…,εnxn)‖ over all the 2n choices of ε→=(ε1,…,εn)∈{...