Weighted inequalities for multilinear fractional integral operators

By Kabe Moen. 2009

183 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8170ad700f048f804da8cc86b64c48373ca5abb7

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In Applied Mathematics

Citations in the corpus

Extrapolation for multilinear compact operators and applications (2020, background): “Let us turn to a particular class of A~ p,~r weights, called A~ p,q weights from [49] and [57].”
Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators (2011, background): “2 (Multiple A(~ p,q) weights) ([4], [22]) Let 1 6 p1, · · · , pm <∞, 1 p = 1 p1 + · · ·+ 1 pm , and q > 0.”
Sharp Weighted Bounds for Multilinear Maximal Functions and Calderón–Zygmund Operators (2012, background): “We also give a sufficient condition for the “two-weighted” boundedness of M with precise bounds generalizing the corresponding linear result from [20] and its multilinear counterpart in [19].”
A Fractional Muckenhoupt–Wheeden Theorem and its Consequences (2013, background): “We suspect that the following result, which gives a connection between operator norms for the Riesz potential and a “bilinear” (properly, bisublinear) maximal operator defined by the second author in [20], may be applicable to this problem.”
Weighted norm inequalities for multilinear fractional operators on Morrey spaces (2011, background): “3 recovers the two-weight results due to Moen [10].”
On the Hörmander Classes of Bilinear Pseudodifferential Operators (2009, methodology): “[25] K. Moen, Weighted inequalities for multilinear fractional integral operators, Colloq.”
Multilinear analysis on metric spaces (2014, background): “[60] Y. Han, D. Müller and D. Yang, A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces, Abstr.”