𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An atomic decomposition of distributions in parabolic Hp spaces

✍ Scribed by Alberto P Calderón


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
450 KB
Volume
25
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.

✦ Synopsis


The results of R. H. Latter on atomic decomposition are extended to distributions in parabolic HP spaces with diagonalizable dilation groups.

The method employed uses a decomposition of the function F(x, t) = f * qr associated with the distribution f, which also yields real and complex interpolation results for these spaces.


📜 SIMILAR VOLUMES


Atomic decomposition for the vorticity o
✍ Lorenzo Brandolese 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB

## Abstract We show that the vorticity of a viscous flow in ℝ^3^ admits an atomic decomposition of the form __ω__(__x, t__) = $ \textstyle \sum ^\infty \_{k = 1} $ __ω~k~__(__x__ – __x~k~, t__), with localized and oscillating building blocks __ω~k~__, if such a property is satisfied at the beginnin

The distribution of stress around a flat
✍ M.K. Kassir 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 711 KB

W-A simpk limiting procedure is reveakd whereby tk three-dimensional state of stress and defonaatba around pa&olii cracks or flaws embedded in elastic solids may be obtained. Several results are derived from availabk solutions conceraing elliptical cracks or thin-sheet rigid inclusions. In particula