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Three geometric constants for Morrey spaces
Hendra Gunawan,Eder Kikianty,Yoshihiro Sawano,Christopher Schwanke 대한수학회 2019 대한수학회보 Vol.56 No.6
In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Morrey spaces. These constants measure uniformly nonsquareness of the associated spaces. We obtain that the three constants are the same as those for $L^1$ and $L^\infty$ spaces.
THREE GEOMETRIC CONSTANTS FOR MORREY SPACES
Gunawan, Hendra,Kikianty, Eder,Sawano, Yoshihiro,Schwanke, Christopher Korean Mathematical Society 2019 대한수학회보 Vol.56 No.6
In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Morrey spaces. These constants measure uniformly nonsquareness of the associated spaces. We obtain that the three constants are the same as those for $L^1$ and $L^{\infty}$ spaces.
Adarsh Bhat,Maithri Venkat,Xiaoyin Chen,Hiroko Ohtani,Kevin Ellwood,Tony Misovski,Johannes W. Schwank 한국공업화학회 2021 Journal of Industrial and Engineering Chemistry Vol.103 No.-
This study elucidates the factors responsible for the deterioration of beaded activated carbon (BAC), usedin the abatement of volatile organic compounds that stem from painting processes in industries. In practice,continuous use of adsorbents during periodic adsorption–desorption results in the formation of heel(non-desorbable polymeric complex) in its pore structures, rendering the adsorbent eventually unusable. Here, the adsorption–desorption characteristics of VOCs from porous BAC are investigated, and an effectivesurface modification strategy is developed to impede heel formation and extend the operational lifeof the BAC. This modification protocol increases porosity by up-to 55 % and modifies the functionalgroups on the BAC surface without altering its structural integrity. Consequently, the adsorption capacityof the BAC increased by nearly 38% while decreasing the peak desorption temperature by as much as50 C due to lowered adsorption strength. Additionally, to provide mechanistic insights, the resultantchanges in porosity, surface morphology, and adsorption–desorption characteristics of the BAC are investigatedby N2 physisorption, SEM, TGA, and DRIFTS. Finally, cyclic adsorption–desorption studies conductedunder conditions mirroring the industrial setup proved that the percentage heel accumulationin surface modified BAC is significantly lower ( 3%) compared to unmodified BAC.