A characterization of compactness in terms of uniform structure in a function space

1982 ◽  
Vol 37 (4) ◽  
pp. 143-144 ◽  
Author(s):  
V V Uspenskii
Keyword(s):  
Function Space ◽  
Uniform Structure

scholarly journals Wavelets Convergence and Unconditional Bases for Lp(ℝn) and H1(ℝn)

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Devendra Kumar
Keyword(s):  
Banach Space ◽  
Hardy Space ◽  
Function Space ◽  
Riesz Transform ◽  
Unconditional Bases

We prove that reasonable nice wavelets form unconditional bases in function space other than L2(ℝn, X). Moreover, characterization of convergence of wavelets series in Lp(ℝn, X) space and Hardy space H1(ℝn,X) has been obtained. Here, X is a Banach space with boundedness of Riesz transform.

scholarly journals Characterization of weighted function spaces in terms of wavelet transforms

2018 ◽  
Vol 37 (4) ◽  
pp. 69-82
Author(s):  
Sanjay Sharma ◽  
Drema Lhamu ◽  
Sunil Kumar Singh
Keyword(s):  
Wavelet Transform ◽  
Function Space ◽  
Wavelet Transforms ◽  
Function Spaces ◽  
Weighted Function ◽  
Weighted Function Spaces ◽  
Weighted Function Space

In this paper, we have characterized a weighted function space $ B_{\omega,\psi}^{p,q}, ~ 1\leq p,q<\infty$ in terms of wavelet transform and shown that the norms on the spaces $B_{\omega,\psi}^{p,q}$  and $\bigwedge_\omega^{p,q}$ (the space defined in terms of differences $\triangle_x$) are equivalent.

scholarly journals Normal-state transport in superconducting NbN films on r-cut sapphire

2021 ◽  
Vol 2086 (1) ◽  
pp. 012212
Author(s):  
M D Soldatenkova ◽  
A D Triznova ◽  
E M Baeva ◽  
P I Zolotov ◽  
A I Lomakin ◽  
...  
Keyword(s):  
Normal State ◽  
Electrical Transport ◽  
Morphological Characterization ◽  
Granular Structure ◽  
Uniform Structure ◽  
Superconducting Transition ◽  
Dc Magnetron Sputtering ◽  
Additional Source ◽  
Normal State Resistivity

Abstract High-quality thin NbN films are very crucial for realizing quantum devices. Here, we investigated electrical transport and noise properties of a series of thin NbN films of various thicknesses grown on r-cut sapphire substrate using a DC magnetron sputtering technique. The films exhibit non-uniform thickness dependences for superconducting transition temperature (Te ) and normal-state resistivity. Morphological characterization of NbN samples of various thicknesses reveals uniform structure in thin films and granular structure in thick films. By measuring transport and noise properties in a normal state, we observe that the granular structure of NbN films does not have a strong effect on resistivity and does not cause an additional source of current noise.

Development and characterization of a novel multifunctional film based on wheat filter flour incorporated with carvacrol: Antibacterial, antifungal, and insecticidal potentials

2021 ◽  
pp. 108201322110418
Author(s):  
Maryam Pyro- Mossavi ◽  
Mahboobeh Kashiri ◽  
Yahya Maghsoudlou ◽  
Morteza Khomiri ◽  
Mehran Alami
Keyword(s):  
Water Solubility ◽  
Water Vapor Permeability ◽  
Milling Process ◽  
Uniform Structure ◽  
Vapor Permeability ◽  
Film Forming ◽  
Modern Wheat ◽  
Blend Polymer ◽  
Food Model

Wheat filter flour is a by-product derived from the modern wheat milling process. In this study, the influence of plasticizer type (glycerol (G) and sorbitol (S)) and content (25, 35, and 45 g/100 g polymer) on the wheat filter flour-based film was evaluated. Regardless of plasticizer type, increasing the plasticizer content enhanced moisture content, water solubility, and water vapor permeability of film samples. The S-plasticized films presented the greatest tensile strength and the lowest EAB%. The scanning electron microscope observations confirmed the uniform structure of G-plasticized film. Moreover, antimicrobial and physico-mechanical properties of G-plasticized (25%) film were evaluated at the presence of carvacrol (5 and 10 g/100 g polymer). The considerable improvement was achieved in water affinity (14.2%) and flexibility (8.6%) by incorporating 10% carvacrol in G-plasticized films. The greatest inhibitory properties of active wheat filter flour films were observed against Aspergillus niger. By increasing the carvacrol concentration in film-forming solution, the inhibitory activity against Listeria monocytogenes and Escherichia coli in the liquid food model system was increased by 90.3% and 66.95%, respectively. Moreover, the active wheat filter flour-based film released a considerable insecticidal activity against Sitophilus granarius and Tribolium confusum. This work offers a novel utilization of wheat filter flour as an inexpensive blend polymer to manufacture multifunctional active film, which provides a promising approach for pest management besides enhancing the safety of products.

Preparation and Characterization of Nickel-Based Anode-Supported SDC Half Cell by Tape Casting, Laminating and Co-Sintering

2013 ◽  
Vol 787 ◽  
pp. 520-524
Author(s):  
Xi Bao Li ◽  
Zhen Yi Nie ◽  
Ze Jun Xiong ◽  
Zi Liang Ma ◽  
Jian Qiang Zhang
Keyword(s):  
Mechanical Property ◽  
Glass Transition ◽  
Transition Temperature ◽  
Flexural Strength ◽  
Open Porosity ◽  
Sintering Temperature ◽  
Tape Casting ◽  
Uniform Structure ◽  
Half Cell

NiO/YSZ (6:4 wt.%) and NiO/SDC (6:4 wt.%) anodes, NiO/YSZ (SDC) anode-supported SDC electrolyte half cell were fabricated by tape casting, laminating and co-sintering technique. The laminating temperature was chosen to be 85¡æ that was above the glass transition temperature of PVA binder. Laminating pressure of 30-70 MPa was tried and it was found that 50 MPa was the best. Some unreacted CeO2was decomposed between 1365-1393¡æ and Sm2NiO4compound was formed in NiO-based complexes at about 1445-1448¡æ. The sintering temperature of 1400 ¡æ was selected. The flexural strength of NiO/SDC anode (with an open porosity of 22.7%) and NiO/YSZ anode (with an open porosity of 21.2%) was 68.8 and 165.6 MPa, respectively. The flexural strength of as-fabricated NiO/YSZ anode achieved the requirement of the mechanical property for anode-supported SOFCs. SDC electrolyte with dense, crackfree and uniform structure was successfully adhered to the porous and homogeneous NiO/YSZ anode.

Preparation and Characterization of Porous Silicon in HF-AgNO3 Solution

2010 ◽  
Vol 663-665 ◽  
pp. 292-295
Author(s):  
Wen Bin Yang ◽  
Jun Wun ◽  
Fang Fang He ◽  
Xiao Hong Tang ◽  
Yuan Lin Zhou
Keyword(s):  
Electron Microscopy ◽  
Porous Silicon ◽  
Room Temperature ◽  
Etching Rate ◽  
Photoluminescence Property ◽  
Uniform Structure ◽  
Silver Deposition ◽  
System Solution ◽  
Scanning Electron

Porous silicon (PS) of uniform structure was prepared by electroless silver deposition on surface of silicon at near room temperature in HF-AgNO3 system solution. Morphology of PS was characterized by scanning electron microscopy. The results showed that the diameter of hole was 1-2μm and holes distributed regularly. The ethylene diamine tetra acetic acid (EDTA) was an important additive to control the etching rate of silicon, which is of great significance to research the mechanism of porous silicon formation. Furthermore, photoluminescence property of PS was characterized.

The one-sided Ap conditions and local maximal operator

2011 ◽  
Vol 55 (1) ◽  
pp. 79-104 ◽  
Author(s):  
Ana L. Bernardis ◽  
Amiran Gogatishvili ◽  
Francisco Javier Martín-Reyes ◽  
Pedro Ortega Salvador ◽  
Luboš Pick
Keyword(s):  
Function Space ◽  
Maximal Operator ◽  
Variable Exponent ◽  
Banach Function Space ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces ◽  
Variable Exponent Lebesgue Spaces ◽  
The One

AbstractWe introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces.

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