We prove that for certain classes of pseudoconvex domains of finite type, the Bergman-Toeplitz operator T ψ with symbol ψ " K´α maps from L p to L q continuously with 1 ă p ď q ă 8 if and only if α ě 1 p´1 q , where K is the Bergman kernel on diagonal. This work generalises the results on strongly pseudoconvex domains byČučković and McNeal, and Abeta, Raissy and Saracco.
In this paper, we obtain some L p mapping properties of the Bergman-Toeplitz operator, where α P R and k P Z`.2010 Mathematics Subject Classification. Primary 32A25; Secondary 32A36.
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AbstractLaboratory investigations of paraffin deposition process and the remarkable changes in the crystal structure of waxes resulted in the development of several copolymer paraffin crystal modifiers. Their mixtures with surfactants have caused strong viscosity reduction in Various Vietnam high paraffin crudes.The changes in form and size of paraffin crystals due to cocrystallization between effective pour point-viscosity depressants and crude oil waxes, were investigated and the results were recorded by means of scanning electronic microscopy (SEM). The mechanisms of pour point and viscosity reductions were examined using Infrared and Raman spectroscopes. The advantages and disadvantages of these tools were noted.
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