Results 51 to 60 of about 5,011,031 (372)
The Hardy space H1 on non-homogeneous metric spaces [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2010 Let (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its dual space is the known space RBMO(μ) in this context.
T. Hytonen, Dachun Yang, Dongyong Yang
semanticscholar +1 more source
BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions
Journal of Function Spaces and Applications, 2012 Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function,
Li Cha, Heping Liu
doaj +1 more source
Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence.
Yoshihiro Sawano +2 more
openaire +3 more sources
Design and Applications of Multi‐Frequency Programmable Metamaterials for Adaptive Stealth
Advanced Functional Materials, EarlyView.This article provides a comprehensive overview of metamaterials, including their fundamental principles, properties, synthesis techniques, and applications in stealth, as well as their challenges and future prospects. It covers topics that are more advanced than those typically discussed in existing review articles, while still being closely connected ...
Jonathan Tersur Orasugh +4 more
wiley +1 more source
Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
doaj +1 more source
Journal of Function Spaces, 2022 Let X,d,μ be a metric measure space endowed with a metric d and a non-negative Borel doubling measure μ. Let L be a non-negative self-adjoint operator on L2X. Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen, Shunchao Long, Yu-long Deng
doaj +1 more source
Closure of Hardy spaces in the Bloch space
Journal of Mathematical Analysis and Applications, 2015 A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\Cn$ for ...
Galanopoulos, Petros +2 more
openaire +4 more sources
DNA‑Directed Assembly of Photonic Nanomaterials for Diagnostic and Therapeutic Applications
Advanced Materials, EarlyView.DNA‐directed assembly offers a powerful strategy for constructing structured photonic nanomaterials with precise spatial control. This review provides a comprehensive overview of recent advancements in DNA‐assembled photonic nanomaterials for diagnostics and therapeutics, highlighting key design principles, functionalization strategies, and optical ...
Longjiang Ding +5 more
wiley +1 more source
Journal of Function Spaces, 2022 In the paper, for a certain class of Hardy operators with kernels, we consider the problem of their boundedness from a second order weighted Sobolev space to a weighted Lebesgue space.
Aigerim Kalybay
doaj +1 more source
UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces
, 2013 We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J. +2 more
core +1 more source