Square functions of Calderón type and applications.

Steve Hofmann; John L. Lewis

Displaying similar documents to “Square functions of Calderón type and applications.”

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

Nicolai V. Krylov (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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.

A note on parabolic fractional and singular integrals

C. Sadosky (1966)

Studia Mathematica

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On singular integrals of Calderón-type in R and BMO.

Steve Hofmann (1994)

Revista Matemática Iberoamericana

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We prove L^p (and weighted L^p) bounds for singular integrals of the form p.v. ∫_Rⁿ E (A(x) - A(y) / |x - y|) (Ω(x - y) / |x - y|ⁿ) f(y) dy, where E(t) = cos t if Ω is odd, and E(t) = sin t if Ω is even, and where ∇ A ∈ BMO. Even in the case that Ω is smooth, the theory of singular integrals with rough kernels plays a key role in the...

The $L^{p}$ solvability of the Dirichlet problems for parabolic equations

Xiang Tao (2000)

Studia Mathematica

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For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^{p}$ solvability of the Dirichlet problems.

Morrey estimates for parabolic nondivergence operators of Hörmander type

Sufang Tang, Pengcheng Niu (2010)

Rendiconti del Seminario Matematico della Università di Padova

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On multilinear singular integrals of Calderón-Zygmund type.

Loukas Grafakos, Rodolfo H. Torres (2002)

Publicacions Matemàtiques

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A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators....

Doubling properties for second order parabolic equations.

Safonov, Mikhail V., Yuan, Yu (1999)

Annals of Mathematics. Second Series

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Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

Ferit Gurbuz (2016)

Open Mathematics

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In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...