Results 21 to 30 of about 81,230 (240)
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
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]
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]
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
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
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
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
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]
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
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
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

