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 $L_{p} (ℝ, C^{2 + α})$ -spaces.

Fully nonlinear second order elliptic equations : recent development

Nicolai V. Krylov — 1997

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Elliptic regularity and essential self-adjointness of Dirichlet operators on $ℝ^{n}$

Vladimir I. Bogachev; Nicolai V. Krylov; Michael Röckner — 1997

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^{1}$ and $C^{2}$ coefficients.

Dong, Hongjie; Krylov, Nicolai V. — 2005

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Une représentation des sous-martingales positives et ses applications

A martingale proof of the Khinchin iterated logarithm law for Wiener processes

Some properties of weighted Sobolev spaces in ℝ + d

The Calderón-Zygmund theorem and parabolic equations in L P ( ℝ , C 2 + α ) -spaces

Fully nonlinear second order elliptic equations : recent development

Elliptic regularity and essential self-adjointness of Dirichlet operators on ℝ n

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with C 1 and C 2 coefficients.

Some properties of weighted Sobolev spaces in $ℝ_{+}^{d}$

The Calderón-Zygmund theorem and parabolic equations in $L P (ℝ, C^{2 + α})$ -spaces

Elliptic regularity and essential self-adjointness of Dirichlet operators on $ℝ^{n}$

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^{1}$ and $C^{2}$ coefficients.