%0 Journal Article %1 kinzebulatov2017theory %A Kinzebulatov, D. %A Semenov, Yu. A. %D 2017 %K functional-analysis generator markov-theory %T On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_ınfty.$ I %U http://arxiv.org/abs/1709.08598 %X We obtain the basic results concerning the problem of constructing operator realizations of the formal differential expression $a \nabla - b \nabla$ with measurable matrix $a$ and vector field $b$ having critical-order singularities as the generators of Markov semigroups in $L^p$ and $C_ınfty$.

@article{kinzebulatov2017theory, abstract = {We obtain the basic results concerning the problem of constructing operator realizations of the formal differential expression $\nabla \cdot a \cdot \nabla - b \cdot \nabla$ with measurable matrix $a$ and vector field $b$ having critical-order singularities as the generators of Markov semigroups in $L^p$ and $C_\infty$.}, added-at = {2017-12-06T17:59:25.000+0100}, author = {Kinzebulatov, D. and Semenov, Yu. A.}, biburl = {https://www.bibsonomy.org/bibtex/2c547506d1917d014e66477e90862e6af/claired}, description = {On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty.$ I}, interhash = {acbe7ae09e5063b47c403f98833cb5ff}, intrahash = {c547506d1917d014e66477e90862e6af}, keywords = {functional-analysis generator markov-theory}, note = {cite arxiv:1709.08598Comment: In Section 3.5, a few minor inconsistencies corrected}, timestamp = {2017-12-06T17:59:25.000+0100}, title = {On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty.$ I}, url = {http://arxiv.org/abs/1709.08598}, year = 2017 }