Some weighted norm inequalities concerning the schrödinger operators (original) (raw)

Abstract

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AI

This paper presents new results regarding weighted norm inequalities in the context of Schrödinger operators. It specifically investigates the implications of certain inequalities on bound states and local integrability, providing alternative proofs and counterexamples to previously established conjectures. The conditions under which these inequalities hold are explored, with a focus on the implications of the Muckenhoupt A_p condition.

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  1. While this paper was in preparation we learned that Sawyer has indepen- dently found another proof that (4.1) and A~ imply (0.10). Sawyer has also found a direct proof that if O<_V<_W and W has (0.10), then so does V. BIBUOGRAPHY
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