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Displaying 481 – 500 of 673

Transferring monotonicity in weighted norm inequalities.

Gord Sinnamon (2003)

Collectanea Mathematica

Certain weighted norm inequalities for integral operators with non-negative, monotone kernels are shown to remain valid when the weight is replaced by a monotone majorant or minorant of the original weight. A similar result holds for operators with quasi-concave kernels. To prove these results a careful investigation of the functional properties of the monotone envelopes of a non-negative function is carried-out. Applications are made to function space embeddings of the cones of monotone functions...

Two methods for the inverse problem of memory reconstruction.

Bukhgejm, A.L., Kalinina, N.I., Kardakov, V.B. (2000)

Siberian Mathematical Journal

Two remarks about spectral asymptotics of pseudodifferential operators

Wojciech Czaja, Ziemowit Rzeszotnik (1999)

Colloquium Mathematicae

In this paper we show an asymptotic formula for the number of eigenvalues of a pseudodifferential operator. As a corollary we obtain a generalization of the result by Shubin and Tulovskiĭ about the Weyl asymptotic formula. We also consider a version of the Weyl formula for the quasi-classical asymptotics.

Two weight norm inequality for the fractional maximal operator and the fractional integral operator.

Yves Rakotondratsimba (1998)

Publicacions Matemàtiques

New sufficient conditions on the weight functions u(.) and v(.) are given in order that the fractional maximal [resp. integral] operator Ms [resp. Is], 0 ≤ s < n, [resp. 0 < s < n] sends the weighted Lebesgue space Lp(v(x)dx) into Lp(u(x)dx), 1 < p < ∞. As a consequence a characterization for this estimate is obtained whenever the weight functions are radial monotone.

Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{\infty}$ and L¹

W. Evans, D. Harris, J. Lang (1998)

Studia Mathematica

In [2] and [3] upper and lower estimates and asymptotic results were obtained for the approximation numbers of the operator $T : L^{p} (ℝ^{+}) \to L^{p} (ℝ^{+})$ defined by $(T f) (x) ≔ v (x) ʃ_{0}^{\infty} u (t) f (t) d t$ when 1 < p < ∞. Analogous results are given in this paper for the cases p = 1,∞ not included in [2] and [3].

Two-sided estimates of the approximation numbers of certain Volterra integral operators

D. Edmunds, W. Evans, D. Harris (1997)

Studia Mathematica

We consider the Volterra integral operator $T : L^{p} (ℝ^{+}) \to L^{p} (ℝ^{+})$ defined by $(T f) (x) = v (x) ʃ_{0}^{x} u (t) f (t) d t$ . Under suitable conditions on u and v, upper and lower estimates for the approximation numbers $a_{n} (T)$ of T are established when 1 < p < ∞. When p = 2 these yield $l i m_{n \to \infty} n a_{n} (T) = π^{- 1} ʃ_{0}^{\infty} | u (t) v (t) | d t$ . We also provide upper and lower estimates for the $ℓ^{α}$ and weak $ℓ^{α}$ norms of (an(T)) when 1 < α < ∞.

Two-weighted criteria for integral transforms with multiple kernels

Vakhtang Kokilashvili, Alexander Meskhi (2006)

Banach Center Publications

Necessary and sufficient conditions governing two-weight $L^{p}$ norm estimates for multiple Hardy and potential operators are presented. Two-weight inequalities for potentials defined on nonhomogeneous spaces are also discussed. Sketches of the proofs for most of the results are given.

Two-weighted inequalities for integral operators in Lorentz spaces defined on homogeneous groups.

Kokilashvili, V., Meskhi, A. (1999)

Georgian Mathematical Journal

Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.

Marianne Reichert (1973)

Journal für die reine und angewandte Mathematik

Über die Lösbarkeit der ...-Gleichung auf Ringgebieten mit Hilfe von Lp-, Ck- und D'-stetigen Integraloperatoren.

Michael Hortmann (1976)

Mathematische Annalen

Über ein Transmissionsproblem mit Integro-Differentialbedingungen.

Jörg Donig (1977/1978)

Manuscripta mathematica

Ueber cubische ternäre Formen (Zus. mit Gordan).

A. Clebsch (1873)

Mathematische Annalen

Un contre-exemple pour le noyau reproduisant de la mesure gaussienne dans le plan complexe

Peter Sjögren (1975/1976)

Séminaire Paul Krée

Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces

Carlo Bardaro, Ilaria Mantellini (2006)

Mathematica Slovaca

[unknown]

И.Э. Вербицкий, Н.Я. Крупник (1980)

Matematiceskie issledovanija

Utilisation des opérateurs pseudo-différentiels et des opérateurs trace dans certains problèmes aux limites (suite)

L. Boutet de Monvel (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

Utilisation des opérateurs pseudo-différentiels et des opérateurs trace dans certains problèmes aux limites

L. Boutet de Monvel (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

Valuation of two-factor options under the Merton jump-diffusion model using orthogonal spline wavelets

Černá, Dana (2023)

Programs and Algorithms of Numerical Mathematics

This paper addresses the two-asset Merton model for option pricing represented by non-stationary integro-differential equations with two state variables. The drawback of most classical methods for solving these types of equations is that the matrices arising from discretization are full and ill-conditioned. In this paper, we first transform the equation using logarithmic prices, drift removal, and localization. Then, we apply the Galerkin method with a recently proposed orthogonal cubic spline-wavelet...

Variational theory of set-valued Hammerstein operators in Banach function spaces. The eigenvalue problem

Charles V. Coffman (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Verteilung der Eigenwerte für eine Klasse von Integraloperatoren in L2 (a, b).

Joachim Weidmann (1975)

Journal für die reine und angewandte Mathematik

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