Spaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in Lpx(H,μ) and discuss some properties of Malliavin derivatives in Lpx(H,μ)
Variable exponent spaces and Hardy operator space have played an important role in recent harmonic a...
We give conditions for the convergence of approximate identities, both pointwise and in norm, in var...
The Malliavin calculus (or stochastic calculus of variations) is an infinite-dimensional differentia...
Diening L, Harjulehto P, Hästö P, Růžička M. Lebesgue and Sobolev spaces with variable exponents. Le...
In this article we provide an overview of several open problems in variable expo-nent spaces. The pr...
In this article we extend the Sobolev spaces with variable exponents to include the fractional case,...
This paper gives Sobolev-type inequality for the generalized Lebesgue space Lp(x)(Ω) and correspondi...
Abstract. In this paper we study the Malliavin derivatives and Skorohod integrals for processes taki...
The Malliavin derivative operator is classically defined with respect to the standard Brownian motio...
Recently, an increasing attention has been payed to partial differential equations and variational i...
In this paper some results about the maximal operator and the Sobolev spaces are presented, in the f...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
Abstract. In this paper, we study the critical Sobolev embeddings W 1,p(x)(Ω) ⊂ Lp∗(x)(Ω) for varia...
The relation between derivatives of a polynomial of best approximation and the best approximation of...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
Variable exponent spaces and Hardy operator space have played an important role in recent harmonic a...
We give conditions for the convergence of approximate identities, both pointwise and in norm, in var...
The Malliavin calculus (or stochastic calculus of variations) is an infinite-dimensional differentia...
Diening L, Harjulehto P, Hästö P, Růžička M. Lebesgue and Sobolev spaces with variable exponents. Le...
In this article we provide an overview of several open problems in variable expo-nent spaces. The pr...
In this article we extend the Sobolev spaces with variable exponents to include the fractional case,...
This paper gives Sobolev-type inequality for the generalized Lebesgue space Lp(x)(Ω) and correspondi...
Abstract. In this paper we study the Malliavin derivatives and Skorohod integrals for processes taki...
The Malliavin derivative operator is classically defined with respect to the standard Brownian motio...
Recently, an increasing attention has been payed to partial differential equations and variational i...
In this paper some results about the maximal operator and the Sobolev spaces are presented, in the f...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
Abstract. In this paper, we study the critical Sobolev embeddings W 1,p(x)(Ω) ⊂ Lp∗(x)(Ω) for varia...
The relation between derivatives of a polynomial of best approximation and the best approximation of...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
Variable exponent spaces and Hardy operator space have played an important role in recent harmonic a...
We give conditions for the convergence of approximate identities, both pointwise and in norm, in var...
The Malliavin calculus (or stochastic calculus of variations) is an infinite-dimensional differentia...
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