Results 1 to 10 of about 100,893 (168)

Bilinear Ideals in Operator Spaces [PDF]

Journal of Mathematical Analysis and Applications, 2015
We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals $\mathcal{N}$ of completely nuclear, $\mathcal{I }$ of completely integral, $\mathcal{E}$ of completely ...
Dimant, Verónica, Fernández-Unzueta, Maite   +1 more
core   +6 more sources

Weighted Estimates for Bilinear Operators [PDF]

Journal of Function Spaces, 2014
We study the boundedness of weighted multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We also investigate weighted estimates for bilinear operators related to Schrödinger operator.
Hua Zhu, Heping Liu
doaj   +2 more sources

On Bilinear Narrow Operators [PDF]

Mathematics, 2021
In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev, Nonna Dzhusoeva, Ruslan Kulaev   +2 more
doaj   +2 more sources

Discrete Bilinear Operators and Commutators [PDF]

The Journal of Geometric Analysis, 2023
14 pages. Minor revision. To appear in J.
Árpád Bényi, Tadahiro Oh
openaire   +3 more sources

ON THE POTENTIALITY OF A CLASS OF OPERATORS RELATIVE TO LOCAL BILINEAR FORMS

Ural Mathematical Journal, 2021
The inverse problem of the calculus of variations (IPCV) is solved for a second-order ordinary differential equation with the use of a local bilinear form.
Svetlana A. Budochkina, Ekaterina S. Dekhanova   +1 more
doaj   +1 more source

Integral restriction for bilinear operators [PDF]

Publicacions Matemàtiques, 2016
We consider the integral domain restriction operator TΩ for certain bilinear operator T. We obtain that if (s, p1, p2) satisfies 1 p1+ 1 p2 ≥ 2 min{1,s} and kTkLp1 ×Lp2→Ls < ∞, then kTΩkLp1 ×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s}.
Zhao, Weiren, Wang, Meng, Zhao, Guoping
openaire   +8 more sources

Lax integrability and soliton solutions of the (2 + 1)- dimensional Kadomtsev– Petviashvili– Sawada–Kotera– Ramani equation

Frontiers in Physics, 2022
In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj   +1 more source

Lump and lump-kink-type rogue-wave solutions of the homologous (3+1)-dimensional Hirota-bilinear-like equation

Results in Physics, 2023
In this article, a new dynamical system equation is constructed, named the (3+1)-dimensional Hirota-bilinear-like equation. The new ‘like’ equation has more nonlinear terms than the original equation while they have the same bilinear form.
Wenting Li, Ailing Jiao
doaj   +1 more source

Continuous-Like Linear Operators on Bilinear Spaces

Journal of Mathematical and Fundamental Sciences, 2020
This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah, Hanni Garminia, Pudji Astuti   +2 more
doaj   +1 more source

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions

Heliyon, 2023
In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
doaj   +1 more source