An analogue of a hardy-littlewood-fej�r inequality for upper triangular trace class operators
نویسندگان
چکیده
منابع مشابه
Sharp Hardy-littlewood-sobolev Inequality on the Upper Half Space
There are at least two directions concerning the extension of classical sharp Hardy-Littlewood-Sobolev inequality: (1) Extending the sharp inequality on general manifolds; (2) Extending it for the negative exponent λ = n−α (that is for the case of α > n). In this paper we confirm the possibility for the extension along the first direction by establishing the sharp Hardy-Littlewood-Sobolev inequ...
متن کاملOn the Polynomial Hardy–littlewood Inequality
We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.
متن کاملEstimates of Weighted Hardy-Littlewood Inequality for Differential Forms
Differential forms are interesting and important generalizations of real functions and distributions. Many interesting results and applications of differential forms have recently been found in some fields. As an important tool the Hardy-Littlewood inequality have been playing critical roles in many mathematics, including potential analysis, partial differential equations and the theory of elas...
متن کاملHardy-Littlewood Inequality for Quasiregular Maps on Carnot Groups
A natural generalization of analytic functions to n-dimensional Euclidean space are quasiregular mappings.(See [2] and [3].) An analogue of Theorem 1.1 for quasiregular mappings in John domains in Euclidean space appeared in [4]. Recently the analytical tools used in the proof of this result have been generalized to Carnot groups. We give an account of some of these advances and obtain an analo...
متن کاملOptimal Hardy–littlewood Type Inequalities for Polynomials and Multilinear Operators
Abstract. In this paper we obtain quite general and definitive forms for Hardy–Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and straightforward proofs and we are able to show that in most cases the exponents involved are optimal. The technique we used is a combination of probabilistic tools and of an interpolative a...
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: Mathematische Zeitschrift
سال: 1983
ISSN: 0025-5874,1432-1823
DOI: 10.1007/bf01215477