Bilinear Fractional Integral Along Homogeneous Curves

Junfeng Li, Peng Liu

Type: Article

Publication Date: 2016-11-01

Citations: 5

DOI: https://doi.org/10.1007/s00041-016-9511-9

View Publication

Locations

Journal of Fourier Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+	Parallel Integral Curves	2012	David Pugmire Tom Peterka Christoph Garth
+	On Λ -Fractional Differential Geometry	2022
+ PDF Chat	Bilinear fractional integral operators on Morrey spaces	2020	Qianjun He Dunyan Yan
+	Fractional integrals on spaces of homogeneous type	1998	В. С. Гулиев Rustem Mustafaev
+	Fractional integrals on spaces of homogeneous type	1989	Vachtang Michailovič Kokilashvili Alois Kufner
+	Fractional integrals on spaces of homogeneous type	1992	Pan Wenjie
+ PDF Chat	Geometry of Curves with Fractional Derivatives in Lorentz Plane	2022	Meltem Öğrenmiş
+ PDF Chat	Differential Geometry of Curves in Euclidean 3-Space with Fractional Order	2021	Muhittin Evren Aydın Mehmet Bektaş Alper ÖĞREMİŞ Asıf Yokuş
+ PDF Chat	Differential Geometry of Curves in Euclidean 3-Space with Fractional Order	2021	Muhittin Evren Aydın Mehmet Bektaş Alper Öğremiş Asıf Yokuş
+	Integral curves and Lie derivatives	2018	Eduardo Nahmad-Achar
+ PDF Chat	On integral representations of bilinear functionals	1951	Haruo Sunouchi
+	Maximal bilinear singular integral operators associated with dilations of planar sets	2007	Geoff Diestel Loukas Grafakos
+	On Elliptic Integral	1943	Ivan Niven
+	Regularity Properties of Bilinear Maximal Function and Its Fractional Variant	2020	Feng Liu Suying Liu Xiao Zhang
+	Bilinear strongly generalized fractional integrals and their commutators over non-homogeneous metric spaces	2024	Guanghui Lü Shuangping Tao Miaomiao Wang
+	Singular Bilinear Integrals	2016	Brian Jefferies
+	Continuity of Bilinear Fractional Maximal Commutators with Lipschitz Symbols in Sobolev Spaces	2025	Xixi Jiang Feng Liu Yongming Wen
+	Integral calculus on curves and surfaces	2010
+	Fractional Differential Geometry of Curves & Surfaces	2016	Konstantinos A. Lazopoulos K.A. Lazopoulos
+	Fractional integral operator on spaces of homogeneous type	2004	Jiang Li-ya Ming Xu

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves	2021	Junfeng Li Haixia Yu
+	Bilinear Fractional Integral Operators	2020	Ting Chen Wenchang Sun
+	Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces	2020	Junren Pan Wenchang Sun
+	Bilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves	2020	Junfeng Li Haixia Yu
+ PDF Chat	The integral of complex variables on three defined contours	2021	Hankun Li Weiyue Wang Zhang Yuhan

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Bilinear Hilbert Transforms Associated with Plane Curves	2015	Jingwei Guo Lechao Xiao
+ PDF Chat	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves	2015	Victor Lie
+ PDF Chat	Convolution estimates for some measures on curves	1987	Daniel M. Oberlin
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein
+ PDF Chat	Endpoint bounds for multilinear fractional integrals	2012	Seung-Woo Kuk Sungyun Lee
+ PDF Chat	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger
+	Harmonic analysis on nilpotent groups and singular integrals. III. Fractional integration along manifolds	1989	Fulvio Ricci Elias M. Stein
+ PDF Chat	Convolution and Fractional Integration with Measures on Homogeneous Curves in ${\mathbb R}^n$	2004	Philip T. Gressman
+ PDF Chat	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiao-Chun Li
+	Some remarks on multilinear maps and interpolation	2001	Loukas Grafakos N. J. Kalton