We describe a classO of nonlinear operators which are bounded on the Lizorkin–Triebel spaces F sp,q(Rn), for 0 < s < 1 and 1 < p, q < ∞. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on F sp,q(Rn), for 0 < s < 1 and 1 < p, q < ∞ ; this extends the result of Kinnunen [9], valid for the Sobolev space H1p (Rn).
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal o...
Abstract. We study the Hardy–Littlewood maximal operator M on Lp(·)(Ω), where Ω ⊂ Rn is an open boun...
We give continuity conditions on the exponent function p(x) which are sufficient for the Hardy-Littl...
International audienceWe describe a class of nonlinear operators which are bounded on the Sobolev sp...
We describe a class O of nonlinear operators which are bounded on the Lizorkin–Triebel spaces Fs p,q...
Abstract. In this expository paper we study the boundedness of certain Hardy-Littlewood type maximal...
Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/...
summary:We study the mapping property of the commutator of Hardy-Littlewood maximal function on Trie...
The thesis consists of four chapters. In the first chapter, we develop a necessary and sufficient co...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
AbstractWe give an example of a function p such that the Hardy-Littlewood maximal operator is not bo...
We investigate variants of the maximal operator and show their applications to study boundedness of ...
In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
WOS: 000384638700002In this paper we proved the boundedness of the Hardy- Littlewood maximal operato...
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal o...
Abstract. We study the Hardy–Littlewood maximal operator M on Lp(·)(Ω), where Ω ⊂ Rn is an open boun...
We give continuity conditions on the exponent function p(x) which are sufficient for the Hardy-Littl...
International audienceWe describe a class of nonlinear operators which are bounded on the Sobolev sp...
We describe a class O of nonlinear operators which are bounded on the Lizorkin–Triebel spaces Fs p,q...
Abstract. In this expository paper we study the boundedness of certain Hardy-Littlewood type maximal...
Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/...
summary:We study the mapping property of the commutator of Hardy-Littlewood maximal function on Trie...
The thesis consists of four chapters. In the first chapter, we develop a necessary and sufficient co...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
AbstractWe give an example of a function p such that the Hardy-Littlewood maximal operator is not bo...
We investigate variants of the maximal operator and show their applications to study boundedness of ...
In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator...
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Har...
WOS: 000384638700002In this paper we proved the boundedness of the Hardy- Littlewood maximal operato...
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal o...
Abstract. We study the Hardy–Littlewood maximal operator M on Lp(·)(Ω), where Ω ⊂ Rn is an open boun...
We give continuity conditions on the exponent function p(x) which are sufficient for the Hardy-Littl...