A5073992369- Advanced Harmonic Analysis Research
- Mathematical Analysis and Transform Methods
- Advanced Mathematical Physics Problems
- Differential Equations and Boundary Problems
- Semiconductor Quantum Structures and Devices
- Photonic and Optical Devices
- Orthopaedic implants and arthroplasty
- Semiconductor Lasers and Optical Devices
- Total Knee Arthroplasty Outcomes
- Spectral Theory in Mathematical Physics
- Nonlinear Partial Differential Equations
- Superconducting and THz Device Technology
- Radio Astronomy Observations and Technology
- Cosmology and Gravitation Theories
- Holomorphic and Operator Theory
- Strong Light-Matter Interactions
- Numerical methods in inverse problems
- Optical Network Technologies
- Dark Matter and Cosmic Phenomena
- advanced mathematical theories
- Knee injuries and reconstruction techniques
- Mathematical Approximation and Integration
- Osteoarthritis Treatment and Mechanisms
- Advanced Fiber Laser Technologies
- Advanced Mathematical Modeling in Engineering
Osaka University
2015-2025
Ibaraki University
2023
Osaka Kyoiku University
2023
Tokyo Woman's Christian University
2007-2021
The University of Tokyo
2015-2020
Kyoto University
1994-2018
High Energy Accelerator Research Organization
2018
Aoyama Gakuin University
2018
University of Wisconsin–Madison
2016
Kyoto City University of Arts
2013
The problem of finding the differentiability conditions for bilinear Fourier multipliers that are as small possible to ensure boundedness corresponding operators from products Hardy spaces H^{p_1}\times H^{p_2} L^p , 1/p_1 +1/p_2 =1/p is considered. minimal in terms product type Sobolev norms given whole range 0 < p_1, p_2 \leq \infty .
Abstract In this paper we prove a certain L 2 -estimate formultilinear Fouriermultiplier operators with multipliers of limited smoothness. As consequence, extend the result Calderón and Torchinsky in linear theory to multilinear case. The sharpness our results some related estimates Hardy spaces are also discussed.
In this paper, we consider weighted norm inequalities for multilinear Fourier multipliers. Our result can be understood as a version of the by Kurtz and Wheeden.
Abstract Vitamin E (VE) has been added to ultrahigh‐molecular‐weight polyethylene (UHMWPE) acetabular cups and tibial trays primarily reduce oxidative damage the polymer. The aim of this study was investigate relative wear rates UHMWPE‐containing VE compared with virgin UHMWPE. ability amount inflammatory cytokines produced from stimulated peripheral blood mononuclear cells (PBMNCs) also investigated. Stimulation achieved by exposure PBMNCs either lipoplysaccharide (LPS) or VE‐containing...
Flaking-type wear, so-called delamination, is often observed in polyethylene joint components. This thought to occur partly due crack formation and propagation at grain boundaries. study examined the effect of vitamin E on and/or UHMWPE by using 2-dimensional sliding fatigue testing micro indenter testing. An vitro test was performed under two simplified articulating movements, cracks produced were scanning acoustic tomography (SAT). Gamma-irradiated ultrahigh molecular weight (UHMWPE)...
In this paper various properties of global and local changes variables as well canonical transforms are investigated on modulation Wiener amalgam spaces. We establish several relations among localisations such spaces and, a consequence, we obtain versions Beurling–Helson type theorems. also number positive results boundedness spaces, homogeneous variables, continuity Fourier integral operators \documentclass{article}\usepackage{amssymb, mathrsfs}\begin{document}\pagestyle{empty}${\mathscr...
Abstract In this paper, we study sharp maximal function estimates for multilinear pseudo‐differential operators. Our target is operators of type (0,0) which a differentiation does not make any decay the associated symbol. Analogous results , appeared in an earlier work authors [17], but different approach given .
We study the action on modulation spaces of Fourier multipliers with symbols $e^{i\mu (\xi )}$, for real-valued functions $\mu$ having unbounded second derivatives. In a simplified form our result reads as follows: if satisfies usual symbol estimates order $\alpha \geq 2$, or is positively homogeneous function degree $\alpha$, then corresponding multiplier bounded an operator between weighted $M^{p,q}_s$ and $M^{p,q}$, all $1\leq p,q\leq \infty$ $s\geq (\alpha -2)n|{1/p}-1/2|$. Here $s$...
On considère des opérateurs pseudo-différentiels avec symboles dans la classe exotique de Hörmander. prouve estimations espaces Lebesgue pour ces opérateurs, sous l’hypothèse que leurs soient Hörmander d’ordre critique. donne aussi résultats reliés les Hardy et BMO.
Let F(f) be the composition of functions F and f. We consider question 'If f belongs to some function space, does belong same space again?'. The answers this for Sobolev Besov are well known by virtue theory paradifferential operators Bony [Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Sci. École Norm. Sup. (4) 14 (1981), pp. 209–246] Meyer [Remarques sur un théorème de J.-M. Bony, Proceedings Seminar on Harmonic Analysis...
For space observatories, the glitches caused by high energy phonons created interaction of cosmic ray particles with detector substrate lead to dead time during observation. Mitigating impact rays is therefore an important requirement for detectors be used in future missions. In order investigate possible solutions, we carry out a systematic study testing four large arrays Microwave Kinetic Inductance Detectors (MKIDs), each consisting $\sim$960 pixels and fabricated on monolithic 55 mm...
We provide characterizations for boundedness of multilinear Fourier multiplier operators on Hardy or Lebesgue spaces with symbols locally in Sobolev spaces. Let $H^q(\mathbb R^n)$ denote the space when $0 \lt q \le 1$ and $L^q(\mathbb $1 \infty$. find optimal conditions $m$-linear to be bounded from $H^{p_1}\times \cdots \times H^{p_m}$ $L^p$ $1/p=1/p_1+\cdots +1/p_m$ terms local $L^2$-Sobolev estimates symbol operator. Our analogues linear results Calderón Torchinsky [1] bilinear Miyachi...
Bilinear Fourier multiplier operators corresponding to multipliers that are singular at the origin considered. New criterions on such assure boundedness of from $L^p \times L^q$ $L^r$, $1/p+1/q=1/r$, given in range $1<p,q \le \infty$, $2/3<r<\infty$.