A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in -spaces.
@article{ASNSP_2002_5_1_4_799_0, author = {Krylov, Nicolai V.}, title = {The Calder\'on-Zygmund theorem and parabolic equations in $L P (\mathbb {R}, C^{2+\alpha })$-spaces}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {799--820}, publisher = {Scuola normale superiore}, volume = {Ser. 5, 1}, number = {4}, year = {2002}, zbl = {pre05019622}, mrnumber = {1991003}, language = {en}, url = {archive.numdam.org/item/ASNSP_2002_5_1_4_799_0/} }
Krylov, Nicolai V. The Calderón-Zygmund theorem and parabolic equations in $L P (\mathbb {R}, C^{2+\alpha })$-spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 799-820. http://archive.numdam.org/item/ASNSP_2002_5_1_4_799_0/
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