Results 61 to 70 of about 495,262 (315)

Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations

open access: yesElectronic Journal of Differential Equations, 2018
In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi   +3 more
doaj  

Analysis of hyper-singular, fractional, and order-zero singular integral operators [PDF]

open access: yesarXiv, 2018
In this article, we conduct a study of integral operators defined in terms of non-convolution type kernels with singularities of various degrees. The operators that fall within our scope of research include fractional integrals, fractional derivatives, pseudodifferential operators, Calder\'on-Zygmund operators, and many others. The main results of this
arxiv  

Icephobic Gradient Polymer Coatings Coupled with Electromechanical De‐icing Systems: A Promising Ice Repellent Hybrid System

open access: yesAdvanced Engineering Materials, EarlyView.
A hybrid system for de‐icing made of gradient polymer coatings, deposited on aluminum coupled with an electromechanical system, is demonstrated as an effective and durable strategy for reducing drastically ice adhesion. The system is capable of detaching ice blocks over the coating in less than 1 s, regardless of the ice type and covered area ...
Gabriel Hernández Rodríguez   +8 more
wiley   +1 more source

Commutators of Singular Integral Operators and Lipschitz Functions on Amalgam Spaces

open access: yesJournal of Function Spaces, 2020
In this paper, we obtain the boundedness of commutators generated by singular integral operators and Lipschitz functions on amalgam spaces and weighted amalgam spaces.
Jiao Ma, Zongguang Liu
doaj   +1 more source

$L^p$ bounds for singular integrals and maximal singular integrals with rough kernels [PDF]

open access: yesarXiv, 1997
Convolution type Calder\'on-Zygmund singular integral operators with rough kernels $\pv \Om(x)/|x|^n$ are studied. A condition on $\Om$ implying that the corresponding singular integrals and maximal singular integrals map $L^p \to L^p$ for $1
arxiv  

COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

open access: yesProceedings of the National Academy of Sciences, 1965
where x, y are points in n-dimensional Euclidean space R" and k(x) is a homogeneous function of degree -n with mean value zero on xl = 1, and let B(f) = b(x)f(x). It is well known (see ref. 1) that if k anid b are sufficiently smooth and b is bounded, then (AB BA)(0/0ax) and (0/ax) (AB BA) are bounded operators in Lp ...
openaire   +4 more sources

Current Trends and Future Perspective for Cold Spray Metal‐Ceramic Composites

open access: yesAdvanced Engineering Materials, EarlyView.
The use of cold spray (CS) technology for creating cermet deposits, combining ceramic and metallic components, is advancing rapidly. Cermets offer excellent temperature handling and erosion resistance for diverse applications. This review outlines the current state of the art, focusing on the deposition dynamics and strategies to optimize the ...
Romario A. Wicaksono   +2 more
wiley   +1 more source

Bounds for singular fractional integrals and related Fourier integral operators [PDF]

open access: yesJournal of Functional Analysis, 199 (2003), 48--91., 2002
We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.
arxiv  

Multiple Weighted Estimates for Multilinear Commutators of Multilinear Singular Integrals with Generalized Kernels [PDF]

open access: yesarXiv, 2023
In this paper, the weighted Lp boundedness of multilinear commutators and iterated commutators of multilinear singular integral operators with generalized kernels is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini ...
arxiv  

A Different Perspective on the Solid Lubrication Performance of Black Phosphorous: Friend or Foe?

open access: yesAdvanced Engineering Materials, EarlyView.
Researchers investigate black phosphorous (BP) as a standalone solid lubricant coating through ball‐on‐disc linear‐reciprocating sliding experiments in dry conditions. Testing on different metals shows BP doesn't universally reduce friction and wear. However, it achieves 33% friction reduction on rougher iron surfaces and 23% wear reduction on aluminum.
Matteo Vezzelli   +5 more
wiley   +1 more source

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