Optimal hardy-type inequalities for Schrödinger forms

Masayoshi Takeda

doi:5743ojm

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Home > Journals > Osaka J. Math. > Volume 60 > Issue 4 > Article

October 2023 Optimal hardy-type inequalities for Schrödinger forms

Masayoshi Takeda

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Masayoshi Takeda¹
¹Department of Mathematics Kansai University

Osaka J. Math. 60(4): 761-776 (October 2023).

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Abstract

We give a method to construct a critical Schrödinger form from the subcritical Schrödinger form by subtracting a suitable positive potential. The method enables us to obtain optimal Hardy-type inequalities.