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تسجيل مستخدم جديدCritical heat kernel estimates via Hardy-Sobolev inequalities
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We obtain Sobolev inequalities for the Schrodinger operator -Delta-V, where V has critical behaviour V(x)=((N-2)/2)^2|x|^{-2} near the origin. We apply these inequalities to obtain pointwise estimates on the associated heat kernel, improving upon earlier results.
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