Expand all
Collapse all
|
Results 1 - 3 of 3 |
1. CMB 2011 (vol 55 pp. 303)
|
Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces In this article, we establish a new atomic decomposition for $f\in L^2_w\cap H^p_w$,
where the decomposition converges in $L^2_w$-norm rather than in the distribution sense.
As applications of this decomposition, assuming that $T$ is a linear
operator bounded on $L^2_w$ and $0 Keywords:$A_p$ weights, atomic decomposition, Calderón reproducing formula, weighted Hardy spaces Categories:42B25, 42B30 |
2. CMB 2004 (vol 47 pp. 206)
|
The Poincaré Inequality and Reverse Doubling Weights We show that Poincar\'e inequalities with reverse doubling weights hold in a
large class of irregular domains whenever the weights satisfy certain
conditions. Examples of these domains are John domains.
Keywords:reverse doubling weights, Poincaré inequality, John domains Category:46E35 |
3. CMB 1999 (vol 42 pp. 198)
|
Commutators and Analytic Dependence of Fourier-Bessel Series on $(0,\infty)$ In this paper we study the boundedness of the commutators $[b,
S_n]$ where $b$ is a $\BMO$ function and $S_n$ denotes the $n$-th
partial sum of the Fourier-Bessel series on $(0,\infty)$.
Perturbing the measure by $\exp(2b)$ we obtain that certain
operators related to $S_n$ depend analytically on the functional
parameter $b$.
Keywords:Fourier-Bessel series, commutators, BMO, $A_p$ weights Category:42C10 |