Modern molecular biomarkers of head and neck cancer. Part I. Epigenetic diagnostics and prognostics: Systematic review. [PDF]
Juodzbalys G +6 more
europepmc +1 more source
Reassessing the Host Defense Peptide Landscape. [PDF]
Haney EF, Straus SK, Hancock REW.
europepmc +1 more source
A class of rough generalized Marcinkiewicz integrals along twisted surfaces
Hussain Al-Qassem, Mohammed Ali
openaire +1 more source
The long COVID and its mental health manifestations - the review of literature. [PDF]
Pietrzak P, Hanke W.
europepmc +1 more source
MAD-microbial (origin of) Alzheimer's disease hypothesis: from infection and the antimicrobial response to disruption of key copper-based systems. [PDF]
Min JH, Sarlus H, Harris RA.
europepmc +1 more source
Estimates for a class of oscillatory integrals and decay rates for wave-type equations.
Arnold A, Kim J, Yao X.
europepmc +1 more source
A Class of Rough Generalized Marcinkiewicz Integrals on Product Domains
In this article, suitable estimates for a class of rough generalized Marcinkiewicz integrals on product spaces are established. By these estimates, together with employing Yano’s extrapolation technique, we obtain the boundedness of the aforementioned integral operators under weak conditions on singular kernels.
Hussain Al-Qassem, Mohammed Ali
exaly +2 more sources
Under weak conditions assumed on the kernels, appropriate Lp estimates for certain class of generalized Marcinkiewicz integrals over subvarieties are established. By the virtue of the obtained estimates along with Yano’s extrapolation argument, the Lp boundedness of the aforementioned integral operators under weaker conditions on the kernels is proved.
Mohammed Ali
exaly +3 more sources
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Boundedness of generalized higher commutators of Marcinkiewicz integrals
Acta Mathematica Scientia, 2007Abstract Let b → = ( b 1 , … , b m ) be a finite family of locally integrable functions. Then, we introduce generalized higher commutator of Marcinkiwicz integral as follows: μ Ω b → ( f ) ( x ) = ( ∫ 0 ∞ | F Ω , t b → ( f ) ( x ) | 2 d t t ) 1 /
Shanzhen Lu
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A generalization of a theorem of Marcinkiewicz
Complex Variables, Theory and Application: An International Journal, 1992we prove the following theorem for characteristic functions, which is an extension of theorems of Marcinkiew and Luckas: let P be a polynomial of degree m and let exp i(z) denote the l-times iteratd exponential function. Assume futher g(z) is an entire function with the property (here M(r,g) denotes the usual maximum modulus of the entire function g ...
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