scholarly journals Banach-valued multilinear singular integrals

2018 ◽  
Vol 67 (5) ◽  
pp. 1711-1763 ◽  
Author(s):  
Francesco Di Plinio ◽  
Yumeng Ou
Keyword(s):  
Singular Integrals ◽  
Multilinear Singular Integrals

scholarly journals On multilinear singular integrals on $R^{n}$

1982 ◽  
Vol 72 (3) ◽  
pp. 199-223 ◽  
Author(s):  
Jonathan Cohen ◽  
John Gosselin
Keyword(s):  
Singular Integrals ◽  
Multilinear Singular Integrals

scholarly journals Norm variation of ergodic averages with respect to two commuting transformations

2017 ◽  
Vol 39 (3) ◽  
pp. 658-688 ◽  
Author(s):  
POLONA DURCIK ◽  
VJEKOSLAV KOVAČ ◽  
KRISTINA ANA ŠKREB ◽  
CHRISTOPH THIELE
Keyword(s):  
Harmonic Analysis ◽  
Hilbert Transform ◽  
Singular Integrals ◽  
Quantitative Result ◽  
Square Function ◽  
Two Dimensional ◽  
Ergodic Averages ◽  
Multilinear Singular Integrals

We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the problem via real harmonic analysis, using recently developed methods for bounding multilinear singular integrals with certain entangled structure. A byproduct of our proof is a bound for a two-dimensional bilinear square function related to the so-called triangular Hilbert transform.

scholarly journals Multilinear singular integrals on non-commutative $$L^p$$ spaces

2020 ◽  
Vol 378 (3-4) ◽  
pp. 1371-1414
Author(s):  
Francesco Di Plinio ◽  
Kangwei Li ◽  
Henri Martikainen ◽  
Emil Vuorinen
Keyword(s):  
Singular Integrals ◽  
Multilinear Singular Integrals

scholarly journals Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Amjad Hussain ◽  
Guilian Gao
Keyword(s):  
Singular Integral ◽  
Variable Exponent ◽  
Singular Integrals ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Herz Space ◽  
Herz Spaces ◽  
Multilinear Singular Integrals

The paper establishes some sufficient conditions for the boundedness of singular integral operators and their commutators from products of variable exponent Herz spaces to variable exponent Herz spaces.

scholarly journals Domination of multilinear singular integrals by positive sparse forms

2018 ◽  
Vol 98 (2) ◽  
pp. 369-392 ◽  
Author(s):  
Amalia Culiuc ◽  
Francesco Di Plinio ◽  
Yumeng Ou
Keyword(s):  
Singular Integrals ◽  
Multilinear Singular Integrals
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