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Regularity of Local Bilinear Maximal Operator

Results in Mathematics, 2021
Given an open set \(\Omega\) in \(\mathbb{R}^n\) and \(0\leq ...
Feng Liu, Shifen Wang, Qingying Xue
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Bilinear Fourier integral operators

Journal of Pseudo-Differential Operators and Applications, 2010
The authors study the boundedness of bilinear Fourier integral operators on products of Lebesgue spaces. These operators are obtained from the class of bilinear pseudodifferential operators of Coifman and Meyer via the introduction of an oscillating factor containing a real-valued phase of five variables \(\Phi(x,y_1,y_2,\xi_1,\xi_2)\) which is jointly
L. Grafakos, M. M. Peloso
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Bilinear Exotic Calderón-Zygmund Operators

Acta Mathematica Sinica, English Series
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Jin, Li, Jinsong, Li, Kangwei
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On the regularity of bilinear maximal operator

Czechoslovak Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Feng, Wang, Guoru
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Bilinear Pseudodifferential Operators on Modulation Spaces

Journal of Fourier Analysis and Applications, 2004
The boundedness of bilinear integral operators, in particular pseudo-differential operators with not necessarily smooth symbols, on products of modulation spaces is investigated. It is proved that if the kernel of the integral operator belongs to a modulation space \({\mathcal M}^1_{\Omega_s}({\mathbb R}^{3d})\), \(\Omega_s\) is a weight function of ...
Bényi, Árpád, Okoudjou, Kasso
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Bilinear operators associated with generalized Schrödinger operators

Journal of Pseudo-Differential Operators and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan Hu, Yu Liu
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Operator ideals and spaces of bilinear operators

Linear and Multilinear Algebra, 1985
We consider some "ideal" structure in the space of bilinear operators between Banach spaces, which is related to t he well-developed theory of operator ideals. Concrete examples of these "ideals" are defined by topological properties (e.g.
M. S. Ramanujan, E. Schock
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Quark Bilinear Operators

1997
Abstract Meson fields couple directly to bilinear operators which carry the same quantum numbers. They can be introduced into quark actions so as to linearize products of quark bilinears (section 4.3). In some cases, it is useful to eliminate completely the quark field from the effective action, in favor of the meson fields.
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Multiplicative representation of bilinear operators

Siberian Mathematical Journal, 2008
Summary: We establish that each lattice bimorphism from the Cartesian product of two vector lattices into a universally complete vector lattice is representable as the product of two lattice homomorphisms defined on the factors. This fact makes it possible to reduce the problem to the linear case and obtain some results on representation of an order ...
Kusraev, A. G., Tabuev, S. N.
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Convolutions as Bilinear and Linear Operators

Canadian Journal of Mathematics, 1964
Throughout this paper X denotes a fixed Hausdorff locally compact group with left Haar measure dx. Various spaces of functions and measures on X will recur in the discussion, so we name and describe them forthwith. All functions and measures on X will be scalarvalued, though it matters little whether the scalars are real or complex.C = C(X) is the ...
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