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Weighted Inequalities for Integral Operators with Almost Homogeneous Kernels
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Marta Urciuolo
Verรถffentlicht/Copyright:
10. Mรคrz 2010
Abstract
Let ๐ โ ๐ and ๐1, . . . , ๐๐ be real numbers such that for each ๐, ๐๐ โ 0 and ๐๐ โ ๐๐ if ๐ โ ๐. In this paper we study integral operators of the form
๐๐ (๐ฅ) = โซ ๐1 (๐ฅ โ ๐1๐ฆ) . . . ๐๐ (๐ฅ โ ๐๐๐ฆ) ๐ (๐ฆ) ๐๐ฆ,
with .
If ฯ๐,๐ satisfy certain uniform regularity conditions out of the origin, we obtain the boundedness of ๐ : ๐ฟ๐(๐ค) โ ๐ฟ๐(๐ค) for all power weights ๐ค in adequate Muckenhoupt classes.
Key words and phrases:: Weights; integral operators
Received: 2005-03-10
Published Online: 2010-03-10
Published in Print: 2006-March
ยฉ Heldermann Verlag
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- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
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