Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces

Balakishiyev, Aydin S.; Gadjieva, E. A.; Gurbuz, Ferit; Serbetci, A.

doi:10.1080/17476933.2017.1403423

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2019

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Cited by 2 publications

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“…At last, substituting (3.10) in [1] and (2.7) into (2.6), the proof of (2.5) is completed. Thus, by (2.5) we get…”

Section: Resultsmentioning

confidence: 94%

On the Behaviors of Rough Fractional Type Sublinear Operators on Vanishing Generalized Weighted Morrey Spaces

Gurbuz

2019

ijaa

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The aim of this paper is to get the boundedness of rough sublinear operators generated by fractional integral operators on vanishing generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. Also, rough fractional integral operator and a related rough fractional maximal operator which satisfy the conditions of our main result can be considered as some examples.

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“…At last, substituting (3.10) in [1] and (2.7) into (2.6), the proof of (2.5) is completed. Thus, by (2.5) we get…”

Section: Resultsmentioning

confidence: 94%

On the Behaviors of Rough Fractional Type Sublinear Operators on Vanishing Generalized Weighted Morrey Spaces

Gurbuz

2019

ijaa

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“…Integral operators are very useful in solving integral as well as differential equations. Several types of integral operators have been studied by the mathematicians (see for example [1,2,4,6,8,[11][12][13][14]).…”

Section: Introductionmentioning

confidence: 99%

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

Farid¹,

Rehman²,

Mishra

et al. 2019

ijaa

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We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Grüss type. A cluster of fractional integral inequalities have been identified by setting particular values to parameters involved in the Mittag-Leffler special function.Presented results contain several fractional integral inequalities which reflects their importance.

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Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces

Cited by 2 publications

References 33 publications

On the Behaviors of Rough Fractional Type Sublinear Operators on Vanishing Generalized Weighted Morrey Spaces

On the Behaviors of Rough Fractional Type Sublinear Operators on Vanishing Generalized Weighted Morrey Spaces

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

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