Sharp multiplicative inequalities with BMO II

-Weighted Inequalities with Lipschitz and BMO Norms

Copyright q 2010 Yuxia Tong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We first define a new kind of A λ3 r λ 1 , λ 2 , ΩΩ two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm ...

Gagliardo–nirenberg Inequalities with a Bmo Term

We give a simple direct proof of the interpolation inequality ‖∇f‖2 L2p C‖f‖BMO‖f‖W 2, p , where 1 < p < ∞. For p = 2 this inequality was obtained by Meyer and Rivière via a different method, and it was applied to prove a regularity theorem for a class of Yang–Mills fields. We also extend the result to higher derivatives, sharpening all those cases of classical Gagliardo– Nirenberg inequalities...

Weighted Inequalities for Potential Operators with Lipschitz and BMO Norms

Some Lipschitz norm and BMO norm inequalities for potential operator to the versions of differential forms are obtained, and some properties of a new kind of A λ3 r λ 1 , λ 2 , ΩΩ weight are derived.

On Sharp Triangle Inequalities in Banach Spaces II

Weighted Multiplicative Integral Inequalities

We give a generalization of a one-dimensional Carlson type inequality due to G.S. Yang and J.-C. Fang and a generalization of a multidimensional type inequality due to L. Larsson. We point out the strong and weak parts of each result.