Results 21 to 30 of about 340,092 (283)
Analysis and Geometry in Metric Spaces, 2020 The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-
Sawano Yoshihiro
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On the inverse of the sum of two sectorial operators [PDF]
, 2013 We study an abstract linear operator equation on a Banach space by using the inverse of the sum of two sectorial operators. We prove that the boundedness of a special type of operator valued $H^\infty$-calculus is sufficient for maximal regularity of the
Roidos, Nikolaos
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Double Points Local Hardy-Littlewood Maximal Operator
Abstract and Applied Analysis, 2013 A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double ...
Futao Song, Na Ju
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A note on maximal operator on ℓ{pn} and Lp(x)(ℝ)
Journal of Function Spaces and Applications, 2007 We consider a discrete analogue of Hardy-Littlewood maximal operator on the generalized Lebesque space ℓ{pn} of sequences defined on ℤ. It is known a necessary and sufficient condition P which guarantees an existence of a real number p>1 such that the ...
Aleš Nekvinda
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Maximal operator in Hölder spaces
, 2023 We study the maximal operator on the variable exponent Hölder spaces in the setting of metric measure spaces. The boundedness is proven for metric measure spaces satisfying an annular decay property. Let us stress that there are no assumptions on the regularity of the variable exponent and the variable exponent can touch values $0$ and $1$. Furthermore,
Bies, Piotr Michał +2 more
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Hyponormal differential operators with discrete spectrum [PDF]
Opuscula Mathematica, 2010 In this work, we first describe all the maximal hyponormal extensions of a minimal operator generated by a linear differential-operator expression of the first-order in the Hilbert space of vector-functions in a finite interval.
Zameddin I. Ismailov, Erdal Unluyol
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Maximal functions for Weinstein operator
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 In the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function.
Chokri Abdelkefi
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Singular integral operators on tent spaces [PDF]
, 2012 We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases
Abstract and Applied Analysis, 2012 We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space ℓ2𝑤(ℤ) (ℤ:={0,±1,±2,…}), that is, the extensions of a minimal symmetric operator with defect index (2,2) (in the Weyl ...
Bilender P. Allahverdiev
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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