Results 41 to 50 of about 390 (267)

Dunkl Translation and Uncentered Maximal Operator on the Real Line

International Journal of Mathematics and Mathematical Sciences, 2007
We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1,1).
Chokri Abdelkefi, Mohamed Sifi
doaj   +1 more source

Nanoconfinement‐Induced Second‐Harmonic Circular Dichroism via Chirality–Ferroelectric Coupling

Advanced Functional Materials, EarlyView.
Nanoconfinement of a ferroelectric nematic liquid crystal within a chiral nanoporous sponge yields an enhanced second‐harmonic generation circular dichroism (|gSHG–CD| ≈ 1.1). Polarization‐resolved analysis suggests an additional magnetic‐dipole‐associated nonlinear contribution under nanoconfinement, highlighting chirality–ferroelectric coupling as a ...
Jae‐Jin Lee, Hiroya Nishikawa, Tae‐Woong Moon, Dong‐Ha Kim, Fumito Araoka, Suk‐Won Choi   +5 more
wiley   +1 more source

Lp-boundedness of flag kernels on homogeneous groups

, 2010
We prove that the flag kernel singular integral operators of Nagel-Ricci-Stein on a homogeneous group are bounded on the Lp spaces. The gradation associated with the kernels is the natural gradation of the underlying Lie algebra. Our main tools are the Littlewood-Paley theory and a symbolic calculus combined in the spirit of Duoandikoetxea and Rubio de
openaire   +2 more sources

Boundedness of Oscillatory Hyper-Hilbert Transform along Curves on Sobolev Spaces

Journal of Function Spaces, 2014
The oscillatory hyper-Hilbert transform along curves is of the following form: Hn,α,βf(x)=∫01‍f(x-Γ(t))eit-βt-1-αdt, where α≥0, β≥0, and Γ(t)=(tp1,tp2,…,tpn).
Jun Li, Guilian Gao
doaj   +1 more source

Embedded Direct Ink Writing of Thermoset and Elastomeric Polymers via Frontal Polymerization

Advanced Functional Materials, EarlyView.
Embedded frontal polymerization direct ink writing (FP‐DIW) combines frontal ring‐opening metathesis polymerization with embedded 3D printing to decouple deposition from curing. A yield‐stress support bath stabilizes low‐viscosity inks, while on‐demand thermal initiation enables controlled front propagation. This approach expands the accessible feature
Mohammad Tanver Hossain, Yun Seong Kim, Pallab Layak, Pranav Krishnan, Young bum Lee, Minjiang Zhu, Shubh Singh, Philippe H. Geubelle, Paul V. Braun, Jeffery W. Baur, Nancy R. Sottos, Sameh H. Tawfick, Randy H. Ewoldt   +12 more
wiley   +1 more source

Maximal Regularity of the Discrete Harmonic Oscillator Equation

Advances in Difference Equations, 2009
We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R ...
Airton Castro, Claudio Cuevas, Carlos Lizama   +2 more
doaj   +1 more source

Confinement in Metal‐Organic Frameworks as a Route to Harnessing Liquid Barocalorics in the Solid‐State

Advanced Functional Materials, EarlyView.
Encapsulation of solid–liquid barocalorics (BC) within MOFs harnesses their colossal BC performance whilst allowing active control of BC properties through BC‐MOF interactions. ABSTRACT Barocaloric (BC) effects at liquid–vapor transitions in hydrofluorocarbons drive most commercial technologies used for heating and cooling in the heating, ventilation ...
Ming Zeng, Frederic Rendell‐Bhatti, Eamonn T. Connolly, Yang Wang, Clàudia Pérez‐Junyent, Josep‐Lluís Tamarit, Ross S. Forgan, Pol Lloveras, David Boldrin   +8 more
wiley   +1 more source

Boundedness of Oscillatory Integrals with Variable Calderón-Zygmund Kernel on Weighted Morrey Spaces

Journal of Function Spaces and Applications, 2013
Oscillatory integral operators play a key role in harmonic analysis. In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable Calderón-Zygmund kernel on the weighted Morrey spaces Lp,k(ω).
Yali Pan, Changwen Li, Xinsong Wang
doaj   +1 more source

From Bulk to Colloidal Nanocrystals: Top‐Down Synthesis of Highly Luminescent Cs2ZrCl6:Te4+ Double Perovskite Nanocrystals for X‐Ray Imaging

Advanced Functional Materials, EarlyView.
Top‐down ultrasonication produces highly emissive Cs2ZrCl6:Te4+ nanocrystals (NCs) with a PLQY of 65%, which is higher compared to that of the NCs synthesized by typical bottom‐up hot‐injection synthesis. The colloidal Cs2ZrCl6:Te4+ NCs have been found to be potential candidates for x‐ray scintillation imaging.
Yang Liu, Ye Wu, Hongpeng Liu, Cong Cui, Iago López‐Fernández, Nadesh Fiuza‐Maneiro, Sergio Gómez‐Graña, Yingjun Chai, Zhicheng Wang, Yusheng Wu, Laishi Li, Xiaoming Li, Lakshminarayana Polavarapu   +12 more
wiley   +1 more source

Boundedness of maximal functions in Lp spaces

Gulf Journal of Mathematics
In this paper, we derive suitable Lp bounds for a specific class of maximal operators defined along the surface of revolution, where the kernels belong to Lq(Sn-1) with q > 1. Using these bounds in conjunction with extrapolation techniques, we establish the Lp boundedness of the maximal operator when its kernels lie in the block space Bq(0, s-1)(Sn ...
openaire   +2 more sources