In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the co...In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the corresponding results for Marcinkiewicz integral and its fractional version with kernels satisfying L_α~q-Dini condition are also given.展开更多
In this paper, we establish the weighted <span style="white-space:nowrap;">L<sup>p</sup> <span style="white-space:nowrap;">(1 < p < ∞) boundedness of variation operat...In this paper, we establish the weighted <span style="white-space:nowrap;">L<sup>p</sup> <span style="white-space:nowrap;">(1 < p < ∞) boundedness of variation operator for the commutators generated by one-sided Calderón-Zygmund singular integrals with Lipschitz functions.展开更多
In this paper, professor JIA Chunsheng＇s multiple treatment thoughts and methods for insomnia under different pathogenesis were shown through the three proven cases of insomnia, including the type of constraint fire ...In this paper, professor JIA Chunsheng＇s multiple treatment thoughts and methods for insomnia under different pathogenesis were shown through the three proven cases of insomnia, including the type of constraint fire of the liver and gallbladder, and excessive yang harassing the spirit, the type of failure of the heart and kidney to interact declined to kidney yin deficiency and the type of liver constraint transforming into fire, insufficient of the spleen and stomach, which provided physicians with experience and methods during treatment of insomnia in clinic, thus improving the clinical effect.展开更多
We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhi...We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhile, the corresponding results for Hardy-Littlewood maximal operator and fractional maximal operator in Bessel setting are also obtained.展开更多
Well-defined branched ZnO nanorods were fabricated on various substrates by a facile wet-chemistry route using a chemical bath deposition method at relatively low temperature. The structure, morphology and properties ...Well-defined branched ZnO nanorods were fabricated on various substrates by a facile wet-chemistry route using a chemical bath deposition method at relatively low temperature. The structure, morphology and properties of the as-synthesized material were characterized by X-ray diffraction （XRD）, scanning electron microscopy （SEM）, UV-vis spectrometry and photoluminescence （PL） spectrometry. Based on these characterizations, the growth process and synthesis mechanism were discussed in detail in terms of a combination of coordination agent and alkaline medium of hexamethylenetetramine used in the solutions. The effect of incubation time, solution composition and supported substrates on morphologies and sizes of the nanorods were further investigated. Meanwhile, the optical properties of branched ZnO nanorods on Zn substrate were measured.展开更多
文摘In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the corresponding results for Marcinkiewicz integral and its fractional version with kernels satisfying L_α~q-Dini condition are also given.
文摘In this paper, we establish the weighted <span style="white-space:nowrap;">L<sup>p</sup> <span style="white-space:nowrap;">(1 < p < ∞) boundedness of variation operator for the commutators generated by one-sided Calderón-Zygmund singular integrals with Lipschitz functions.
基金Supported by Scientific Research Project of the Administration of Traditional Chinese Medicine of Hebei Province:2014003,2016004Planned Project of Hebei Provincial Science and Technology Department:16277725DResearch Project of Humanistic and Social Science of Universities and Colleges in Hebei Province:BJ2016086~~
文摘In this paper, professor JIA Chunsheng＇s multiple treatment thoughts and methods for insomnia under different pathogenesis were shown through the three proven cases of insomnia, including the type of constraint fire of the liver and gallbladder, and excessive yang harassing the spirit, the type of failure of the heart and kidney to interact declined to kidney yin deficiency and the type of liver constraint transforming into fire, insufficient of the spleen and stomach, which provided physicians with experience and methods during treatment of insomnia in clinic, thus improving the clinical effect.
文摘We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhile, the corresponding results for Hardy-Littlewood maximal operator and fractional maximal operator in Bessel setting are also obtained.
基金support of this work by the"973 Program"(2007CB607601and20973188)the"Excellent Talent Program"for universities(Y07-2-05)
文摘Well-defined branched ZnO nanorods were fabricated on various substrates by a facile wet-chemistry route using a chemical bath deposition method at relatively low temperature. The structure, morphology and properties of the as-synthesized material were characterized by X-ray diffraction （XRD）, scanning electron microscopy （SEM）, UV-vis spectrometry and photoluminescence （PL） spectrometry. Based on these characterizations, the growth process and synthesis mechanism were discussed in detail in terms of a combination of coordination agent and alkaline medium of hexamethylenetetramine used in the solutions. The effect of incubation time, solution composition and supported substrates on morphologies and sizes of the nanorods were further investigated. Meanwhile, the optical properties of branched ZnO nanorods on Zn substrate were measured.
