𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Carleson measures and the BMO space on the p -adic vector space

✍ Scribed by Yong-Cheol Kim

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
283 KB
Volume
282
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

For a prime number p, let Q~p~ be the p ‐adic field and let Q~p~ ^d^ denote a vector space over Q~p~ which consists of all d ‐tuples of Q~p~ . Then we study the p ‐adic version of the Calderón–Zygmund decomposition, Carleson measures on the vector space Q~p~ ^d +1^ and the space BMO (Q~p~ ^d^ ) of functions of bounded mean oscillation on Q~p~ ^d^ . In particular, it turns out that the operator norms of various oncoming operators are independent of the dimension d and the prime number p, which is one of the big differences from that of the Euclidean case. Interestingly, the independence of the dimension d and p makes it possible to develop Harmonic Analysis on the infinite dimensional p ‐adic vector space as the importance had already been pointed out in the Euclidean case (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

On the Laplace operator and on the vecto
On the Laplace operator and on the vector potential problems in the half-space: an approach using weighted spaces
✍ Tahar Zamène Boulmezaoud 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 297 KB

## Abstract The purpose of the present paper is twofold. The first object is to study the Laplace equation with inhomogeneous Dirichlet and Neumann boundary conditions in the half‐space of ℝ^__N__^. The behaviour of solutions at infinity is described by means of a family of weighted Sobolev spaces.

On the Space lp+ = ∩lqq>p
On the Space lp+ = ∩lqq>p
✍ G. Metafune; V. B. Moscatelli 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 252 KB
A note on the Poisson structures of the
A note on the Poisson structures of the space of probability measures
✍ Yuichi Shishido 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB 👁 1 views

## Abstract The space of probability measures on a Riemannian manifold is endowed with the Fisher information metric. In [4] T. Friedrich showed that this space admits also Poisson structures {, }. In this note, we give directly another proof for the structure {, } being Poisson. (© 2007 WILEY‐VCH

Partitions of the 8-dimensional vector s
Partitions of the 8-dimensional vector space over GF(2)
✍ S. El-Zanati; O. Heden; G. Seelinger; P. Sissokho; L. Spence; C. Vanden Eynden 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

Let V = V(n,q) denote the vector space of dimension n over GF(q). A set of subspaces of V is called a partition of V if every nonzero vector in V is contained in exactly one subspace of V. Given a partition P of V with exactly a i subspaces of dimension i for 1 ≤ i ≤ n, we have n i=1 a i (q i -1) =

A note on the Picard bundle over a modul
A note on the Picard bundle over a moduli space of vector bundles
✍ Indranil Biswas; L. Brambila–Paz 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 125 KB 👁 1 views

## Abstract Let ℳ︁(__n__ , __d__ ) be a coprime moduli space of stable vector bundles of rank __n__ ≥ 2 and degree __d__ over a complex irreducible smooth projective curve __X__ of genus __g__ ≥ 2 and ℳ︁~__ξ__~ ⊂ ℳ︁(__n__ , __d__ ) a fixed determinant moduli space. Assuming that the degree __d__ i