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20122023
most citedExtrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform

50 citations · 397 across the 45 of their papers we have counts for

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Showing 2017Show all

8 papers · 1 filter

math.CA2017★ 1 cited

Vector-valued operators, optimal weighted estimates and the condition

Maria Eugenia Cejas, Kangwei Li, Carlos Perez +1

Sharp weighted estimates are obtained for vector-valued extensions of the Hardy-Littlewood maximal operator, Calderón-Zygmund operators and Coifman-Rochberg-Weiss commutator. Those…

math.CA2017★ 21 cited

Bilinear Calderón-Zygmund theory on product spaces

Kangwei Li, Henri Martikainen, Emil Vuorinen

We develop a wide general theory of bilinear bi-parameter singular integrals . First, we prove a dyadic representation theorem starting from assumptions and apply it to sho…

math.CA2017★ 11 cited

Sparse bounds for maximal rough singular integrals via the Fourier transform

Francesco Di Plinio, Tuomas P. Hytönen, Kangwei Li

We prove that the class of convolution-type kernels satisfying suitable decay conditions of the Fourier transform, appearing in the works of Christ, Christ-Rubio de Francia, and Du…

math.CA2017★ 1 cited

Bilinear representation theorem

Kangwei Li, Henri Martikainen, Yumeng Ou +1

We represent a general bilinear Calderón-Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In partic…

math.CA2017★ 30 cited

Weighted mixed weak-type inequalities for multilinear operators

Kangwei Li, Sheldy J. Ombrosi, Belén Picardi

In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let and $ν= w_1^\f…

math.CA2017★ 1 cited

Sharp weighted estimates involving one supremum

Kangwei Li

In this note, we study the sharp weighted estimate involving one supremum. In particular, we give a positive answer to an open question raised by Lerner and Moen \cite{LM}. We also…