共查询到10条相似文献,搜索用时 62 毫秒
1.
Dijana Ilisevic Sanja Varosanec 《Proceedings of the American Mathematical Society》2005,133(11):3271-3280
In this paper we give some properties of a generalized inner product in modules over H*-algebras and C*-algebras and we obtain inequalities of Grüss type.
2.
C.-S. Lin 《Proceedings of the American Mathematical Society》2001,129(3):855-859
Two of the most useful inequality formulas for bounded linear operators on a Hilbert space are the Löwner-Heinz and Reid's inequalities. The first inequality was generalized by Furuta (so called the Furuta inequality in the literature). We shall generalize the second one and obtain its related results. It is shown that these two generalized fundamental inequalities are all equivalent to one another.
3.
Hardy inequalities related to Grushin type operators 总被引:4,自引:0,他引:4
Lorenzo D'Ambrosio 《Proceedings of the American Mathematical Society》2004,132(3):725-734
We prove some Hardy type inequalities related to the Grushin type operator .
4.
Leo Larsson 《Proceedings of the American Mathematical Society》2004,132(8):2351-2356
We discuss the close relation between Carlson type inequalities
and interpolation, and prove embedding results for real interpolation spaces, in particular into weighted -spaces.
and interpolation, and prove embedding results for real interpolation spaces, in particular into weighted -spaces.
5.
Y.-S. Han 《Proceedings of the American Mathematical Society》1998,126(11):3315-3327
In this paper, using the discrete Calderon reproducing formula on spaces of homogeneous type obtained by the author, we obtain the Plancherel-Pôlya type inequalities on spaces of homogeneous type. These inequalities give new characterizations of the Besov spaces and the Triebel-Lizorkin spaces on spaces of homogeneous type introduced earlier by the author and E. T. Sawyer and also allow us to generalize these spaces to the case where . Moreover, using these inequalities, we can easily show that the Littlewood-Paley -function and -function are equivalent on spaces of homogeneous type, which gives a new characterization of the Hardy spaces on spaces of homogeneous type introduced by Macias and Segovia.
6.
Michael Farber 《Proceedings of the American Mathematical Society》2000,128(9):2819-2827
In this paper we show that Novikov type inequalities for closed 1-forms hold with the von Neumann Betti numbers replacing the Novikov numbers. As a consequence we obtain a vanishing theorem for cohomology. We also prove that von Neumann Betti numbers coincide with the Novikov numbers for free abelian coverings.
7.
Hardy-Sobolev type inequalities on the H-type group 总被引:1,自引:0,他引:1
Motivated by the idea of Badiale and Tarantello who have found Hardy-Sobolev inequalities on Rn, a class of Hardy-Sobolev type inequalities on H-type groups is proved via a new representation formula for functions. Extremal
functions realizing equality in the inequalities are discussed by refined Concentration-Compactness principles. Finally, some
sharp constants for Hardy type inequalities are given.
The project supported by National Natural Science Foundation of China, Grant No. 10371099. 相似文献
8.
9.
We give some regularity results of the solutions and a Liouville type theorem to singular elliptic equations involving the Caffarelli-Kohn- Nirenberg inequalities.
10.
Summary
We obtain estimates for solutions of integral inequalities of Gronwall type involving Stieltjes integrals and their inverse inequalities. From these we obtain some new results for integral inequalities for Riemann integrals and functional integral inequalities. Extensions are also given to Bihari type integral inequalities.Research supported by NSERC Canada. 相似文献