On a reverse Hölder inequality for Schrödinger operators
نویسندگان
چکیده
We obtain a reverse Hölder inequality for the eigenfuctions of Schrödinger operator with slowly decaying potentials. The class potentials includes singular which decay like $$|x|^{-\alpha }$$ $$0<\alpha <2$$ , in particular Coulomb potential.
منابع مشابه
Hölder continuity of a parametric variational inequality
In this paper, we study the Hölder continuity of solution mapping to a parametric variational inequality. At first, recalling a real-valued gap function of the problem, we discuss the Lipschitz continuity of the gap function. Then under the strong monotonicity, we establish the Hölder continuity of the single-valued solution mapping for the problem. Finally, we apply these resu...
متن کاملA functional generalization of the reverse Hölder integral inequality on time scales
Keywords: Diamond-α integral Time scale Hölder inequality Minkowski's inequality a b s t r a c t In this paper, we establish a functional generalization of the diamond-α integral reverse Hölder inequality on time scales. Some related inequalities are also considered.
متن کاملAnother View on the Hölder Inequality
Every diagonal matrix D yields an endomorphism on the n-dimensional complex vector space. If one provides the n with Hölder norms, we can compute the operator norm of D. We define homogeneous weighted spaces as a generalization of normed spaces. We generalize the Hölder norms for negative values, this leads to a proof of an extended version of the Hölder inequality. Finally, we formulate this v...
متن کاملA determinant inequality and log-majorisation for operators
Let $lambda_1,dots,lambda_n$ be positive real numbers such that $sum_{k=1}^n lambda_k=1$. In this paper, we prove that for any positive operators $a_1,a_2,ldots, a_n$ in semifinite von Neumann algebra $M$ with faithful normal trace that $t(1)
متن کاملOn a New Reverse Hilbert\'s Type Inequality
In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2021
ISSN: ['0003-889X', '1420-8938']
DOI: https://doi.org/10.1007/s00013-021-01682-1