Five samples of the indium material were examined for the isotopic abundance, and no variation was found. The isotopic ratio R_(191/193) was precisely measured by thermal ionization mass spectrometry, yielding a new v...Five samples of the indium material were examined for the isotopic abundance, and no variation was found. The isotopic ratio R_(191/193) was precisely measured by thermal ionization mass spectrometry, yielding a new value of the atomic weight of indium, which after correction for the vaporization effect is 114.8185±0.0002.展开更多
The isotopic ratio R_(191/193)of iridium in minerals and reagents was precisely measured by ther- mal ionization mass spectrometry with Daly ion detection.The mean R_(191/193)was found to be 0.5945(9), yielding the is...The isotopic ratio R_(191/193)of iridium in minerals and reagents was precisely measured by ther- mal ionization mass spectrometry with Daly ion detection.The mean R_(191/193)was found to be 0.5945(9), yielding the isotopic abundance as 37.29(3)atom%^(191)Ir and 62.71(3)atom%^(193)Ir.Together with known nuclidic masses,the atomic weight od iridium calculated therefrom is 192.216(1)at 2SD basis,or 192.217(2)when the instrument was calibrated with the absolute isotopic ratio of rhenium.展开更多
Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz ...Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz Hardy space H~φ_A(R^n× R^m) via the anisotropic Lusin-area function and establish its atomic characterization, the g-function characterization, the g_λ~*-function characterization and the discrete wavelet characterization via first giving out an anisotropic product Peetre inequality of Musielak-Orlicz type. Moreover, we prove that finite atomic decomposition norm on a dense subspace of H~φ_A(R^n× R^m) is equivalent to the standard infinite atomic decomposition norm. As an application, we show that, for a given admissible triplet(φ, q, s), if T is a sublinear operator and maps all(φ, q, s)-atoms into uniformly bounded elements of some quasi-Banach spaces B, then T uniquely extends to a bounded sublinear operator from H~φ_A(R^n× R^m) to B. Another application is that we obtain the boundedness of anisotropic product singular integral operators from H~φ_A(R^n× R^m) to L~φ(R^n× R^m)and from H~φ_A(R^n×R^m) to itself, whose kernels are adapted to the action of A. The results of this article essentially extend the existing results for weighted product Hardy spaces on R^n× R^m and are new even for classical product Orlicz-Hardy spaces.展开更多
文摘Five samples of the indium material were examined for the isotopic abundance, and no variation was found. The isotopic ratio R_(191/193) was precisely measured by thermal ionization mass spectrometry, yielding a new value of the atomic weight of indium, which after correction for the vaporization effect is 114.8185±0.0002.
文摘The isotopic ratio R_(191/193)of iridium in minerals and reagents was precisely measured by ther- mal ionization mass spectrometry with Daly ion detection.The mean R_(191/193)was found to be 0.5945(9), yielding the isotopic abundance as 37.29(3)atom%^(191)Ir and 62.71(3)atom%^(193)Ir.Together with known nuclidic masses,the atomic weight od iridium calculated therefrom is 192.216(1)at 2SD basis,or 192.217(2)when the instrument was calibrated with the absolute isotopic ratio of rhenium.
基金supported by National Natural Science Foundation of China (Grant Nos. 11671414, 11271091, 11471040, 11461065, 11661075, 11571039 and 11671185)
文摘Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz Hardy space H~φ_A(R^n× R^m) via the anisotropic Lusin-area function and establish its atomic characterization, the g-function characterization, the g_λ~*-function characterization and the discrete wavelet characterization via first giving out an anisotropic product Peetre inequality of Musielak-Orlicz type. Moreover, we prove that finite atomic decomposition norm on a dense subspace of H~φ_A(R^n× R^m) is equivalent to the standard infinite atomic decomposition norm. As an application, we show that, for a given admissible triplet(φ, q, s), if T is a sublinear operator and maps all(φ, q, s)-atoms into uniformly bounded elements of some quasi-Banach spaces B, then T uniquely extends to a bounded sublinear operator from H~φ_A(R^n× R^m) to B. Another application is that we obtain the boundedness of anisotropic product singular integral operators from H~φ_A(R^n× R^m) to L~φ(R^n× R^m)and from H~φ_A(R^n×R^m) to itself, whose kernels are adapted to the action of A. The results of this article essentially extend the existing results for weighted product Hardy spaces on R^n× R^m and are new even for classical product Orlicz-Hardy spaces.