Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

Guliyev, Vagif S.; Karaman, Turhan; Mustafayev, Rza; Serbetci, A.

doi:10.1007/s10587-014-0107-8

Cited by 20 publications

(19 citation statements)

References 40 publications

(34 reference statements)

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“…The following results generalize some estimates obtained in [6,9,11,15,16]. The proof follows as in [15] making use of the boundedness of the weighted Hardy operator…”

supporting

confidence: 63%

The Dirichlet problem in a class of generalized weighted Morrey spaces

Softova¹

2019

proc

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“…The following results generalize some estimates obtained in [6,9,11,15,16]. The proof follows as in [15] making use of the boundedness of the weighted Hardy operator…”

supporting

confidence: 63%

The Dirichlet problem in a class of generalized weighted Morrey spaces

Softova¹

2019

proc

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“…Recently, Komori and Shirai [34] considered the weighted Morrey spaces L p;Ä .w/ and studied the boundedness of some classical operators such as the Hardy-Littlewood maximal operator, the Calderón-Zygmund operator on these spaces. Also, Guliyev [24] introduced the generalized weighted Morrey spaces M p;' .w/ and studied the boundedness of the classical operators and its commutators in these spaces M p;' .w/, see also [24,29,33,40]. In [24] the author gave a concept of generalized weighted Morrey space M p;' .w/ which could be viewed as extension of both generalized Morrey space M p;' and weighted Morrey space…”

Section: Introduction and Resultsmentioning

confidence: 99%

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Akbulut

Hasanov

2016

Open Mathematics

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Abstract:In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T A 1 ;A 2 ;:::;A k ;˛, which is a generalization of the higher-order commutator of the rough fractional integral on the generalized weighted Morrey spaces M p;' .w/. We find the sufficient conditions on the pair .' 1 ; ' 2 / with w 2 A p;q which ensures the boundedness of the operators T ;˛a re given in terms of Zygmund-type integral inequalities on .' 1 ; ' 2 / and w, which do not assume any assumption on monotonicity of ' 1 .x; r/; ' 2 .x; r/ in r.

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“…Recently, the generalized weighted Morrey spaces , ( ) introduced by Guliyev [16,17]. Moreover, in [16,17] he studied the boundedness of the sublinear operators and their higher order commutators generated by Calderón-Zygmund operators and Riesz potentials in these spaces (see, also [18][19][20]).…”

Section: Definition 1 Let 1 ≤mentioning

confidence: 99%

Multilinear Commutators of Calderón-Zygmund Operator on Generalized Weighted Morrey Spaces

Guliyev

Alizadeh

2014

Journal of Function Spaces

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The boundedness of multilinear commutators of Calderón-Zygmund operatorTb→on generalized weighted Morrey spacesMp,φ(w)with the weight functionwbelonging to Muckenhoupt's classApis studied. When1<p<∞andb→=(b1,…,bm),bi∈BMO,i=1,…,m, the sufficient conditions on the pair(φ1,φ2)which ensure the boundedness of the operatorTb→fromMp,φ1(w)toMp,φ2(w)are found. In all cases the conditions for the boundedness ofTb→are given in terms of Zygmund-type integral inequalities on(φ1,φ2), which do not assume any assumption on monotonicity ofφ1(x,r), φ2(x,r)inr.

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Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

Cited by 20 publications

References 40 publications

The Dirichlet problem in a class of generalized weighted Morrey spaces

The Dirichlet problem in a class of generalized weighted Morrey spaces

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Multilinear Commutators of Calderón-Zygmund Operator on Generalized Weighted Morrey Spaces

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