Rough maximal functions and rough singular integral operators applied to integrable radial functions.

Peter Sjögren; Fernando Soria

Displaying similar documents to “Rough maximal functions and rough singular integral operators applied to integrable radial functions.”

Precise asymptotic behavior of solutions to damped simple pendulum equations.

Shibata, Tetsutaro (2009)

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

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Integrable systems via inverse integrating factor.

J. Chavarriga, J. Giné (1998)

Extracta Mathematicae

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The four positive vortices problem : regions of chaotic behavior and the non-integrability

M. S. A. C. Castilla, Vinicio Moauro, Piero Negrini, Waldyr Muniz Oliva (1993)

Annales de l'I.H.P. Physique théorique

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Norm estimates of discrete Schrödinger operators

Ryszard Szwarc (1998)

Colloquium Mathematicae

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Harper’s operator is defined on $ℓ^{2} (Z)$ by $H_{θ} ξ (n) = ξ (n + 1) + ξ (n - 1) + 2 cos n θ ξ (n),$ where $θ \in [0, π]$ . We show that the norm of $∥ H_{θ} ∥$ is less than or equal to $2 \sqrt{2}$ for $π / 2 \leq θ \leq π$ . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.

Remark to the comparison of solution properties of Love's equation with those of wave equation

Věra Radochová (1978)

Aplikace matematiky

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In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.

The thinnest double lattice covering of three-spheres

R. Bambah, A. Woods (1971)

Acta Arithmetica

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[unknown]

J. Mikusiński (1959)

Studia Mathematica

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On a Hypersingular Equation of a Problem, for a Crack in Elastic Media

Gil, Alexey, Samko, Stefan (2010)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45. We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.