Shuichi Sato (2009)
Studia Mathematica
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We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove boundedness of the singular integrals under a certain sharp size condition on their kernels.
B. L. Sharma (1969)
Annales Polonici Mathematici
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M. Krakowski (1971)
Applicationes Mathematicae
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Ladopoulos, E.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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H.M. Srivastava, Martha C. Daoust (1969)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Sergio Bravo, Ivan Gonzalez, Karen Kohl, Victor H. Moll (2017)
Open Mathematics
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The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.
W.L. Wendland, C. Schwab (1992)
Numerische Mathematik
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M. A. Wolanowski (1977)
Annales Polonici Mathematici
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Per Sjölin (1979)
Mathematische Zeitschrift
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A.G. Ramm, A. van der Sluis (1990)
Numerische Mathematik
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E. de Amo, I. Chitescu, M. Díaz Carrillo (2001)
Studia Mathematica
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Given two positive Daniell integrals I and J, with J absolutely continuous with respect to I, we find sufficient conditions in order to obtain an exact Radon-Nikodym derivative f of J with respect to I. The procedure of obtaining f is constructive.
Paul Concus, Robert Finn (1975)
Inventiones mathematicae
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Malabika Pramanik, Keith M. Rogers, Andreas Seeger (2011)
Studia Mathematica
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We prove a Calderón-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators, generalized Radon transforms and singular oscillatory integrals.