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Weighted inequalities and Stein-Weiss potentials
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William Beckner
Published/Copyright:
September 8, 2008
Abstract
Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities.
2000 Mathematics Subject Classification: 58J70, 42B10, 35A15.
Received: 2006-07-13
Accepted: 2006-10-22
Published Online: 2008-09-08
Published in Print: 2008-07-01
© Walter de Gruyter
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- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
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Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
