Wave operators for momentum dependent long range potential
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A. M. Berthier, P. Collet (1977)
Annales de l'I.H.P. Physique théorique
Černá, Dana (2021)
Programs and Algorithms of Numerical Mathematics
This paper examines the pricing of two-asset European options under the Merton model represented by a nonstationary integro-differential equation with two state variables. For its numerical solution, the wavelet-Galerkin method combined with the Crank-Nicolson scheme is used. A drawback of most classical methods is the full structure of discretization matrices. In comparison, the wavelet method enables the approximation of discretization matrices with sparse matrices. Sparsity is essential for the...
Amiran Gogatishvili, Luboš Pick (1993)
Czechoslovak Mathematical Journal
Hussein A. H. Salem, Ahmed M. A. El-Sayed (2005)
Mathematica Slovaca
Mieczysław Cichoń (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper we prove a theorem for the existence of pseudo-solutions to the Cauchy problem, x' = f(t,x), x(0) = x₀ in Banach spaces. The function f will be assumed Pettis-integrable, but this assumption is not sufficient for the existence of solutions. We impose a weak compactness type condition expressed in terms of measures of weak noncompactness. We show that under some additionally assumptions our solutions are, in fact, weak solutions or even strong solutions. Thus, our theorem is an essential...
Michael Chist, J.L. Rubio de Francia (1988)
Inventiones mathematicae
Stepanov, V.D., Ushakova, E.P. (2004)
Sibirskij Matematicheskij Zhurnal
Prokhorov, D. V. (2003)
Sibirskij Matematicheskij Zhurnal
Heinig, H.P., Kerman, R., Krbec, M. (2001)
Georgian Mathematical Journal
Hans P. Heinig, Alois Kufner (1993)
Czechoslovak Mathematical Journal
Gupta, Babita, Jain, Pankaj, Persson, Lars-Erik, Wedestig, Anna (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
María Lorente, María Silvina Riveros (2002)
Commentationes Mathematicae Universitatis Carolinae
We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calder’on-Zygmund kernel with support in ) with BMO functions. We give the one-sided version of the results in C. Pérez, Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function, J. Fourier Anal. Appl., vol. 3 (6), 1997, pages 743–756 and C. Pérez, Endpoint estimates for commutators of singular integral operators, J. Funct. Anal., vol 128 (1), 1995, pages...
Amiran Gogatishvili, Bohumir Opic, Lubos Pick (2006)
Collectanea Mathematica
Bi, Hui (2010)
Journal of Inequalities and Applications [electronic only]
Persson, Lars-Erik, Stepanov, Vladimir D. (2002)
Journal of Inequalities and Applications [electronic only]
Steven Bloom, Ron Kerman (1994)
Studia Mathematica
Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for to hold when and are N-functions with convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.
Dachun Yang, Sibei Yang (2011)
Tatjana Ostrogorski (1998)
Colloquium Mathematicae
R. Coifman, C. Fefferman (1974)
Studia Mathematica
Jürgen Marschall (1991)
Forum mathematicum
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