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An efficient image encryption scheme based on double affine substitution box and chaotic system
(
Elsevier
, 2021 , Article)
Privacy of information is one of the most important and unavoidable issues in our digitally advance era. A huge amount of information transmitted over different servers and networking protocols. The sphere of digitally ...
Rough oscillatory singular integrals on ℝⁿ
(
Instytut Matematyczny
, 2014 , Article)
We establish sharp bounds for oscillatory singular integrals with an arbitrary real polynomial phase P. The kernels are allowed to be rough both on the unit sphere and in the radial direction. We show that the bounds grow ...
On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces
(
springer link
, 2011 , Article)
We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase. By using these bounds and using an extrapolation argument we obtain some new and previously known results ...
On certain estimates of rough oscillatory singular integrals
(2011 , Article)
We obtain appropriate sharp estimates for rough oscillatory integrals with polynomial phase. Our results represent significant improvements as well as natural extensions of what was known previously.
On certain rough integral operators and extrapolation
(
Victoria university
, 2009 , Article)
In this paper, we obtain sharp Lp estimates of two classes of maximal operators related to rough singular integrals and Marcinkiewicz integrals. These estimates will be used to obtain similar estimates for the related ...
Certain estimates of oscillatory integrals and extrapolation
(2010 , Article)
In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we ...
On rough maximal operators and Marcinkiewicz integrals along submanifolds
(2009 , Article)
We investigate the LP boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the L(log L)α(Sn-1) condition on the kernel functions. ...
On the Lp boundedness of rough parametric Marcinkiewicz functions
(
Victoria University of Technology
, 2007 , Article)
In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]). © ...
On certain rough maximal operators and singular integrals
(2007 , Article)
We study the L p mapping properties of a class of singular integral operators T p,Ω,h related to polynomial mappings. We prove that this class of singular operators and some of its related maximal operators are bounded on ...
Association of Serum Vitamin D level and COVID-19 infection: A Case-control Study
(
HBKU Press
, 2022 , Article)
Background: Vitamin D is considered a potent modulator of the immune system, albeit its role in COVID-19 infection is a matter of debate. The present study aimed to estimate the association between serum vitamin D levels ...