The John-Nirenberg Inequality and a Sobolev Inequality in General Domains
β Scribed by R. Hurrisyrjanen
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 235 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i
## Abstract We establish __L^p^__βestimates for the projection operator acted on conjugate __A__βharmonic tensors. These estimates can be considered as analogues of the PoincarΓ© inequality for the projection operator.
We first prove local versions of the Poincare inequality for solutions to the Γ-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation ΕΕ½ . s in L , 0 -averaging domains and L -averaging domains