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Norm Inequalities for Potential-Type Operators in Homogeneous Spaces

✍ Scribed by Carme Cascante; Joaquin M. Ortega

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
352 KB
Volume
228
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

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## Abstract We give a condition which is sufficient for the two‐weight (__p__, __q__) inequalities for multilinear potential type integral operators, where 1 < __p__ ≀ __q__ < ∞. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is proved for the cme of irregular knots in L, -spaces, where 0 < p 5 +m. ## 1. Introduction Theorems on equivalent norms of trigonometric polynomials in certain metrics have many applications in the modern theor