众所周知,Orlicz范数与Luxemburg范数是等价的。2011年,BANG H H,HOANG N V,HUY V N,研究了由N函数生成的Orlicz空间中Orlicz范数与Luxemburg范数等价的最佳常数,本文将他们的结果推广到由一般Orlicz函数中Orlicz范数与Luxemburg范数等...众所周知,Orlicz范数与Luxemburg范数是等价的。2011年,BANG H H,HOANG N V,HUY V N,研究了由N函数生成的Orlicz空间中Orlicz范数与Luxemburg范数等价的最佳常数,本文将他们的结果推广到由一般Orlicz函数中Orlicz范数与Luxemburg范数等价的最佳常数。与此同时得到了1<inf k>0∶1 k(1+IΦ(kx))=1及sup k>0∶1 k(1+IΦ(kx))=1<∞的等价条件。展开更多
Thermal lithospheric thickness is an important parameter in studying the tectonic-thermal evolution of basins and plate dynamics.Based on the measured geothermal data and thermophysical properties of the rocks,the the...Thermal lithospheric thickness is an important parameter in studying the tectonic-thermal evolution of basins and plate dynamics.Based on the measured geothermal data and thermophysical properties of the rocks,the thermal lithospheric thickness of the Sichuan Basin was calculated according to the principles of heat conduction in the crust and lithospheric mantle.The calculation results revealed that the thickness of the thermal lithosphere in the Sichuan Basin is 140-190 km and is unevenly distributed.The thickness of the thermal lithosphere in central Sichuan and southwestern Sichuan is less than 160 km,while that in the western Sichuan depression and eastern Sichuan is larger(~180 km).The distribution of the thermal lithospheric thickness in the basin has a good correlation with the geological units and the thickness of the sedimentary layers.The thickness of the thermal lithosphere in the depression area,which has thick sedimentary layers and the fault-fold zone with shallow crustal deformation and thickening,are larger than that in the basement uplifted area,which has thin sedimentary layers.The calculated thermal lithospheric thickness is in good agreement with the geophysical data and reflects the stable conduction temperature field in the Sichuan Basin.The present thermal regime and thermal lithospheric thickness of the Sichuan Basin indicate that flexural thickening of the lithosphere occurred in the eastern Sichuan fault-fold belt and the Longmen Mountain-Western Sichuan depression foreland basin system,while asthenospheric uplift occurred in the central Sichuan region,which were the result of the expansion of the Xuefeng orogeny from the east and the compression of the Tibetan Plateau from the west.展开更多
文摘众所周知,Orlicz范数与Luxemburg范数是等价的。2011年,BANG H H,HOANG N V,HUY V N,研究了由N函数生成的Orlicz空间中Orlicz范数与Luxemburg范数等价的最佳常数,本文将他们的结果推广到由一般Orlicz函数中Orlicz范数与Luxemburg范数等价的最佳常数。与此同时得到了1<inf k>0∶1 k(1+IΦ(kx))=1及sup k>0∶1 k(1+IΦ(kx))=1<∞的等价条件。
基金supported by the National Key Research&Development Program of China(Grant No.2017YFC0603102)the National Natural Science Foundation of China(Grant No.41772248 and 41830424)。
文摘Thermal lithospheric thickness is an important parameter in studying the tectonic-thermal evolution of basins and plate dynamics.Based on the measured geothermal data and thermophysical properties of the rocks,the thermal lithospheric thickness of the Sichuan Basin was calculated according to the principles of heat conduction in the crust and lithospheric mantle.The calculation results revealed that the thickness of the thermal lithosphere in the Sichuan Basin is 140-190 km and is unevenly distributed.The thickness of the thermal lithosphere in central Sichuan and southwestern Sichuan is less than 160 km,while that in the western Sichuan depression and eastern Sichuan is larger(~180 km).The distribution of the thermal lithospheric thickness in the basin has a good correlation with the geological units and the thickness of the sedimentary layers.The thickness of the thermal lithosphere in the depression area,which has thick sedimentary layers and the fault-fold zone with shallow crustal deformation and thickening,are larger than that in the basement uplifted area,which has thin sedimentary layers.The calculated thermal lithospheric thickness is in good agreement with the geophysical data and reflects the stable conduction temperature field in the Sichuan Basin.The present thermal regime and thermal lithospheric thickness of the Sichuan Basin indicate that flexural thickening of the lithosphere occurred in the eastern Sichuan fault-fold belt and the Longmen Mountain-Western Sichuan depression foreland basin system,while asthenospheric uplift occurred in the central Sichuan region,which were the result of the expansion of the Xuefeng orogeny from the east and the compression of the Tibetan Plateau from the west.
