Generalizations of two inequalities involving hermitian forms
β Scribed by Sin-Chung Chang
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 397 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper, we establish some general forms of sharp Sobolev inequalities on the upper half space or any compact Riemannian manifold with smooth boundary. These forms extend some previous results Escobar [11], Li and Zhu [18].
In this paper we shall offer very general Opial-type inequalities involving higher order derivatives of two functions. From these inequalities we then deduce extended and improved versions of several recent results.
We associate zeta functions in two variables with the vector space of binary hermitian forms and prove their functional equation. From Weil's converse theorem, we can show that the Mellin inverse transforms of these zeta functions give elliptic modular forms if they are specialized to one-variable z