Results 1 to 10 of about 538 (48)

Boundedness of second-order Riesz transforms on weighted Hardy and BMO spaces associated with Schrödinger operators

open access: yesComptes rendus. Mathematique, 2021
Let d ∈ {3,4,5, . . .} and a weight w ∈ A∞. We consider the second-order Riesz transform T =∇2 L−1 associated with the Schrödinger operator L = −∆+V , where V ∈ RHσ with σ > 2 . We present three main results.
Trong Nguyen Ngoc   +2 more
semanticscholar   +1 more source

Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means

open access: yes, 2020
In this paper, we show that the Bochner-Riesz means are bounded on weighted and variable Hardy spaces by using the finite atomic decomposition theories.
J. Tan
semanticscholar   +1 more source

Hp-Boundedness of Weyl multipliers

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we will define Hardy spaces Hp(Cn) associated with twisted convolution operators and give the atomic decomposition of Hp(Cn), where 2n2n ...
Jizheng Huang, Jietong Wang
semanticscholar   +2 more sources

A lower bound in Nehari's theorem on the polydisc [PDF]

open access: yes, 2011
By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) with analytic symbol \psi, then there is a function \phi in L ...
H. Helson   +7 more
core   +3 more sources

Commutators of fractional integrals on martingale Morrey spaces

open access: yesMathematical Inequalities & Applications, 2019
On martingale Morrey spaces we give necessary and sufficient conditions for the boundedness and compactness of the commutator generated by the fractional integral and a function in the martingale Campanato space.
E. Nakai, Gaku Sadasue
semanticscholar   +1 more source

Linear functions and duality on the infinite polytorus [PDF]

open access: yes, 2019
We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
core   +2 more sources

On predictors for band-limited and high-frequency time series [PDF]

open access: yes, 2012
Pathwise predictability and predictors for discrete time processes are studied in deterministic setting. It is suggested to approximate convolution sums over future times by convolution sums over past time. It is shown that all band-limited processes are
Dokuchaev   +10 more
core   +2 more sources

The convolution algebra H1(R)

open access: yesJournal of Function Spaces, Volume 8, Issue 2, Page 167-179, 2010., 2010
H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}. We introduce a Banach algebra Q that properly lies between H1 and L1, and use it to show that c(1 + ln n) ≤ ||vn||H1 ≤ Cn1/2 ...
R. L. Johnson   +2 more
wiley   +1 more source

The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space

open access: yesJournal of Function Spaces, Volume 7, Issue 3, Page 241-250, 2009., 2009
In this paper, we study the boundedness of commutator [b, T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
Canqin Tang   +2 more
wiley   +1 more source

Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures

open access: yesJournal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009
Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
wiley   +1 more source

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