Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means
نویسندگان
چکیده
منابع مشابه
Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting
The classical theory of Hardy spaces on n has received an important impetus from the work of Fefferman and Stein, Lu and Yang 1, 2 . Their work resulted in many applications involving sharp estimates for convolution and multiplier operators. By using the technique of Herz-type Hardy spaces for the Dunkl operator Λα, we are attempting in this paper to study the Dunkl convolution operators, andwe...
متن کاملContinuity for maximal commutator of Bochner-Riesz operators on some weighted Hardy spaces
which is the Bochner-Riesz operator (see [8]). Let E be the space E = {h : ‖h‖ = supr>0 |h(r)| <∞}, then, for each fixed x ∈ Rn, Bδ r ( f )(x) may be viewed as a mapping from [0,+∞) to E, and it is clear that Bδ ∗( f )(x) = ‖Bδ r ( f )(x)‖ and B ∗,b( f )(x) = ‖b(x)Bδ r ( f )(x)−Bδ r (b f )(x)‖. As well known, a classical result of Coifman et al. [4] proved that the commutator [b,T] generated by...
متن کاملWeak Type Estimates of the Maximal Quasiradial Bochner-riesz Operator on Certain Hardy Spaces
LetM be a real-valued n×nmatrix whose eigenvalues have positive real parts. Then we consider the dilation group {At}t>0 in R generated by the infinitesimal generator M , where At = exp(M log t) for t > 0. We introduce At-homogeneous distance functions ̺ defined on R; that is, ̺ : R → [0,∞) is a continuous function satisfying ̺(Atξ) = t̺(ξ) for all ξ ∈ R. One can refer to [3] and [11] for its fundam...
متن کاملSpectra of Bochner-Riesz means on L
The Bochner-Riesz means are shown to have either the unit interval [0, 1] or the whole complex plane as their spectra on Lp, 1 ≤ p <∞
متن کاملImproved Bounds for Bochner-riesz and Maximal Bochner-riesz Operators
In this note we improve the known L p-bounds for Bochner-Riesz operators and their maximal operators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2020
ISSN: 1331-4343
DOI: 10.7153/mia-2020-23-79