Bilinear fractional integral operators on Morrey spaces

He, Qianjun; Yan, Dunyan

doi:10.1007/s11117-020-00763-9

Cited by 8 publications

(14 citation statements)

References 20 publications

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“…as in [9]. The interesting phenomenon here is that the factor 1 ´s (for the case t ď s ď 1) has become 1 (for the case 1 ă t ď s).…”

Section: The Proof Of Theorem 28mentioning

confidence: 84%

“…The first case is when t ď 1, while the second case is when t ą 1. Our departure is the following result inspired by the first and third author [9]. Theorem 2.1.…”

Section: The Two-weight Inequalities For Bilinear Fractinal Integral ...mentioning

confidence: 99%

“…In [8], Hoang and Moen proved several weighted estimates for bilinear fractional integral operators and their commutators with BMO functions. Recently, the authors [9] obtained weighted estimates for B α on Morrey spaces.…”

Section: Introductionmentioning

confidence: 99%

“…The two-weight norm inequality for B α on Morrey spaces were unknow untill the authors made some progress in [9]. This paper aim to study weighted norm inequalities for B α and its commutators on Morrey spaces.…”

Section: Introductionmentioning

confidence: 99%

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Weighted estimates for bilinear fractional integral operators and their commutators on Morrey spaces

Wei

Yan

2019

Preprint

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This paper mainly dedicates to prove a plethora of weighted estimates on Morrey spaces for bilinear fractional integral operators and their general commutators with BMO functions of the formWe also prove some maximal function control theorems for these operators, that is, the weighted Morrey norm is bounded by the weighted Morrey norm of a natural maximal operator when the weight belongs to A 8 . As a corollary, some new weighted estimates for the bilinear maximal function associated to the bilinear Hilbert transform are obtained. Furthermore, we formulate a bilinear version of Stein-Weiss inequality on Morrey spaces for fractional integrals.

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“…as in [9]. The interesting phenomenon here is that the factor 1 ´s (for the case t ď s ď 1) has become 1 (for the case 1 ă t ď s).…”

Section: The Proof Of Theorem 28mentioning

confidence: 84%

“…The first case is when t ď 1, while the second case is when t ą 1. Our departure is the following result inspired by the first and third author [9]. Theorem 2.1.…”

Section: The Two-weight Inequalities For Bilinear Fractinal Integral ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Weighted estimates for bilinear fractional integral operators and their commutators on Morrey spaces

Wei

Yan

2019

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Later, the boundedness of Hardy-Littlwood maximal function and singular integral operators on Morrey spaces was obtained by Chiarenza and Frasca [4] in 1987. In addition, for more boundedness of other operators on Morrey space, see [5][6][7] et al…”

Section: Introductionmentioning

confidence: 99%