Results 21 to 30 of about 81,230 (240)

Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators

open access: yesProceedings of the American Mathematical Society, Series B, 2014
Minimal regularity conditions on the kernels of bilinear operators are identified and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.
Carlos Pérez, Rodolfo H. Torres
doaj   +1 more source

Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]

open access: yes, 2019
We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David   +1 more
core   +2 more sources

Nonperturbative Renormalisation of Composite Operators in Lattice QCD [PDF]

open access: yes, 1998
We investigate the nonperturbative renormalisation of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields.
A. Schiller   +47 more
core   +3 more sources

Generalized Bilinear Differential Operators Application in a (3+1)-Dimensional Generalized Shallow Water Equation

open access: yesAdvances in Mathematical Physics, 2015
The relations between Dp-operators and multidimensional binary Bell polynomials are explored and applied to construct the bilinear forms with Dp-operators of nonlinear equations directly and quickly.
Jingzhu Wu, Xiuzhi Xing, Xianguo Geng
doaj   +1 more source

Some estimates for commutators of bilinear pseudo-differential operators

open access: yesOpen Mathematics, 2022
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Strongly singular bilinear Calderón–Zygmund operators and a class of bilinear pseudodifferential operators

open access: yesJournal of the Mathematical Society of Japan, 2019
Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a H rmander class of critical order, we investigate boundedness properties of strongly singular Calder n--Zygmund operators in the bilinear setting. For such operators, whose kernels satisfy integral-type conditions, we establish boundedness properties in the ...
BÉNYI, Árpád   +2 more
openaire   +4 more sources

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Jingshi Xu, Jinlai Zhu
doaj   +1 more source

The natural brackets on couples of vector fields and 1-forms [PDF]

open access: yes, 2018
All natural bilinear operators transforming pairs of couples of vector fields and 1-forms into couples of vector fields and 1-forms are found. All natural bilinear operators as above satisfying the Leibniz rule are extracted.
Doupovec, Miroslav   +2 more
core   +1 more source

Criterion on Lp1×Lp2→Lq-Boundedness for Oscillatory Bilinear Hilbert Transform

open access: yesAbstract and Applied Analysis, 2014
We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform.
Zuoshunhua Shi, Dunyan Yan
doaj   +1 more source

Bilinear Majorana representations for spin operators with spin magnitudes S>1/2

open access: yesPhysical Review Research, 2023
We present a classification of bilinear Majorana representations for spin-S operators, based on the real irreducible matrix representations of SU(2). We identify two types of such representations: While the first type can be straightforwardly mapped onto
Yannik Schaden, Johannes Reuther
doaj   +1 more source

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