The Calderón-Zygmund theorem and parabolic equations in $LP\left(ℝ,{C}^{2+\alpha }\right)$-spaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 799-820.

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 ${L}_{p}\left(ℝ,{C}^{2+\alpha }\right)$-spaces.

Classification : 35K10,  35J15
@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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