Integral equations of convolution type with power nonlinearity
S. Askhabov (1991)
Colloquium Mathematicae
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S. Askhabov (1991)
Colloquium Mathematicae
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Edmond Granirer (1994)
Colloquium Mathematicae
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Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Etienne Matheron (1996)
Colloquium Mathematicae
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Almira, J.M. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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L. Ramsey (1996)
Colloquium Mathematicae
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Polovinkin, V.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Gilles Godefroy, V. Indumathi (2001)
Revista Matemática Complutense
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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Janusz Traple (1992)
Annales Polonici Mathematici
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An existence theorem is proved for the scalar convolution type integral equation .
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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