Results 61 to 70 of about 4,984,277 (353)
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
Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups
Bulletin of Mathematical Sciences, 2020 In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky +2 more
doaj +1 more source
Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, 2023 We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj +1 more source
Magnetically Guided Mechanoactive Mineralization Scaffolds for Enhanced Bone Regeneration
Advanced Functional Materials, EarlyView.A 3D‐printed ‘rebar‐concrete’ inspired scaffold (PGS‐P@MGel) synergizes spontaneous biomineralization with magneto‐mechanical stimulation through PDA@Fe3O4‐embedded hydrogel. This dual biointerface activates Piezo1/β‐catenin/YAP mechanotransduction axis, enhancing BMSCs osteogenesis and angiogenesis simultaneously.
Xuran Guo +10 more
wiley +1 more source
, 2015 Let $L$ be a linear operator on $L^2(\mathbb R^n)$ generating an analytic semigroup $\{e^{-tL}\}_{t\ge0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(0,1]$ be a variable exponent function satisfying the globally log-H\"older
Yang, Dachun, Zhuo, Ciqiang
core +1 more source
HARDY SPACE OF LOMMEL FUNCTIONS
, 2015 . In this work we present some geometric properties (like star-likeness and convexity of order α and also close-to-convexity of order(1+α)/2) for normalized of Lommel functions of the first kind.
Nihat Yağmur
semanticscholar +1 more source
Journal of Functional Analysis, 2008 The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L^1 and some results about interpolation between these spaces and the Lebesgue ...
Jiman Zhao, Frédéric Bernicot
openaire +3 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
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
Weighted composition operators on Hardy–Smirnov spaces
Concrete Operators, 2022 Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj +1 more source