Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
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Displaying similar documents to “Parabolic differential equations and vector-valued Fourier analysis”
Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
On the theorem of F. and M. Riesz
Louis Pigno, Sadahiro Saeki (1990)
Colloquium Mathematicae
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Tusk type conditions and thinness for the parabolic operator of order ...
Miroslav Brzezina (1993)
Manuscripta mathematica
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On A Mercerian Theorem And It's Application To The Equiconvergence Of Cesàro And Riesz Transforms
Shimshon Zimering (1961)
Publications de l'Institut Mathématique
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Remark On Fatou-Riesz's Theorem
Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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An generalization of the Riesz potential
Tomica Divnić, Zlata Đurić (2000)
Kragujevac Journal of Mathematics
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On solutions of Fourier's first problem for a system of non-linear parabolic equations in an unbounded domain
P. Besala (1963)
Annales Polonici Mathematici
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Remark On Fatou-Riesz's Theorem
Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials
Guliyev, Emin (2009)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...
The Calderón-Zygmund theorem and parabolic equations in -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 -spaces.
On strong Riesz sets
Robert E. Dressler, Louis Pigno (1974)
Colloquium Mathematicae
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The linear modulus of an integral operator
A. C. Zaanen (1972)
Mémoires de la Société Mathématique de France
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Gradient potential estimates
Giuseppe Mingione (2011)
Journal of the European Mathematical Society
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Pointwise gradient bounds via Riesz potentials like those available for the Poisson equation actually hold for general quasilinear equations.