Fe b 20 01 L p ESTIMATES FOR THE BIEST II . THE FOURIER CASE
نویسنده
چکیده
We prove L estimates (Theorem 1.2) for the “biest”, a trilinear multiplier operator with singular symbol. The methods used are based on the treatment of the Walsh analogue of the biest in the prequel [16] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.
منابع مشابه
Estimates for the Biest I . the Walsh Case
We prove L estimates (Theorem 1.8) for the Walsh model of the “biest”, a trilinear multiplier with singular symbol. The corresponding estimates for the Fourier model will be obtained in the sequel [15] of this paper.
متن کاملEstimates for the Generalized Fourier-Bessel Transform in the Space L2
Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.
متن کاملSome results of 2-periodic functions by Fourier sums in the space Lp(2)
In this paper, using the Steklov function, we introduce the generalized continuity modulus and denethe class of functions Wr;kp;' in the space Lp. For this class, we prove an analog of the estimates in [1]in the space Lp.
متن کاملRemoval of Cd(II) ions from contaminated water by a new modified magnetic chitosan nano composite
Magnetic chitosan nanocomposites are one of the more recent advanced groups of adsorbents used to remove contaminants from waste water. In this research, N- Nicotinyl-N', N"-bis (Hexamethylenyl) phosphoric triamide (HE) was used as an additive to form a new nanocomposite with the structure of chitosan / 5% Fe3O4 Nps/10% HE resulting in the highly efficient removal of Cd(II...
متن کاملOne-pot three-component synthesis of tetrahydrobenzo[b]pyrans in the presence of Ni0.5Cu0.5Fe2O4 magnetic nanoparticles under microwave irradiation in solvent-free conditions
Ni0.5Cu0.5Fe2O4 magnetic nanoparticles using Arabic gel (AG) as a reducing and stabilizing agent was prepared by the sol-method. The catalyst identification was performed using Fourier transform infrared spectroscopy (FT-IR), powder X-ray diffraction (PXRD), scanning electron microscopy (SEM), and vibrating sample magnetometer (VSM). The magnetic anal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008