Results 31 to 40 of about 14,218 (195)
Sobolev norm estimates for a class of bilinear multipliers
, 2013 We consider bilinear multipliers that appeared as a distinguished particular case in the classification of two-dimensional bilinear Hilbert transforms by Demeter and Thiele [9]. In this note we investigate their boundedness on Sobolev spaces. Furthermore,
Bernicot, Frédéric, Kovač, Vjekoslav
core +2 more sources
Minimal smoothness conditions for bilinear Fourier multipliers
Revista Matemática Iberoamericana, 2013 The problem of finding the differentiability conditions for bilinear Fourier multipliers that are as small as possible to ensure the boundedness of the corresponding operators from products of Hardy spaces H^{p_1}\times H^{p_2} to
Miyachi, Akihiko, Tomita, Naohito
openaire +3 more sources
Failure of the trilinear operator space Grothendieck theorem
Discrete Analysis, 2019 Failure of the trilinear operator space Grothendieck theorem, Discrete Analysis 2019:8, 16 pp. Let $\beta:\ell_\infty^n\times \ell_\infty^n\to\mathbb C$ be a bilinear form.
Jop Briët, Carlos Palazuelos
doaj +1 more source
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]
, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
core +1 more source
Bilinear oscillatory integrals and boundedness for new bilinear multipliers
Advances in Mathematics, 2010 We consider bilinear oscillatory integrals, i.e. pseudo-product operators whose symbol involves an oscillating factor. Lebesgue space inequalities are established, which give decay as the oscillation becomes stronger ; this extends the well-known linear theory of oscillatory integral in some directions.
Bernicot, Frederic, Germain, Pierre
openaire +2 more sources
Bilinear operator multipliers into the trace class
Journal of Functional Analysis, 2020 This paper replaces the one entitled "Modular operator multipliers into the trace". Besides the change of title, a few corrections have been made.
Le Merdy, Christian +2 more
openaire +5 more sources
Boundedness criterion for bilinear Fourier multiplier operators [PDF]
Tohoku Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miyachi, Akihiko, Tomita, Naohito
openaire +3 more sources
Bilinear Factorization via Augmented Lagrange Multipliers [PDF]
, 2010 This paper presents a unified approach to solve different bilinear factorization problems in Computer Vision in the presence of missing data in the measurements. The problem is formulated as a constrained optimization problem where one of the factors is constrained to lie on a specific manifold. To achieve this, we introduce an equivalent reformulation
Alessio Del Bue +3 more
openaire +1 more source
Bilinear forms, Schur multipliers, complete boundedness and duality [PDF]
MATHEMATICA SCANDINAVICA, 2023 Grothendieck's inequalities for operators and bilinear forms imply some factorization results for complex $m \times n$ matrices. Based on the theory of operator spaces and completely bounded maps we present norm optimal versions of these results and two norm optimal factorization results related to the Schur product. We show that the spaces of bilinear
openaire +4 more sources
Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source