Results 71 to 80 of about 127 (125)

The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator [PDF]

open access: yes, 2008
2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B.* Akif Gadjiev’s research is partially supported by the grant of ...
Gadjiev, Akif, Guliyev, Vagif
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© Hindawi Publishing Corp. BOUNDEDNESS FOR MULTILINEAR MARCINKIEWICZ OPERATORS ON CERTAIN HARDY SPACES [PDF]

open access: yes, 2002
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz-Hardy spaces are obtained. 2000 Mathematics Subject Classification: 42B25, 42B20. 1. Introduction and definitions.
Liu Lanzhe
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Convolution of Distribution-Valued Functions [PDF]

open access: yes, 2020
. In this article we examine products and convolutions of vectorvalued functions. For nuclear normal spaces of distributions Proposition 25 in [31, p.
Christian Bargetz
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Estimates for evolutionary partial differential equations in classical function spaces

open access: yesForum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro   +3 more
doaj   +1 more source

On Maximal Function on the Laguerre Hypergroup [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K = [0, ∞)×R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group.
Assal, Miloud, Guliyev, Vagif
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A boundedness result for Marcinkiewicz integral operator

open access: yesOpen Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents

open access: yesOpen Mathematics, 2018
Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel ...
Hasanov, Javanshir, Guliyev, Vagif
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On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials [PDF]

open access: yes, 2009
Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...].
Guliyev, Emin
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Caloric Measure in Parabolic Flat Domains [PDF]

open access: yes, 2007
In this paper we de ne parabolic chord arc domains and generalize a theorem of Semmes concerning quantitative approximation by graphs with small lipschitz constants.
John L. Lewis   +2 more
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