Results 41 to 50 of about 16,663 (301)
MORREY SPACES AND FRACTIONAL OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
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Fractional calculus of periodic distributions
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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, 2021 The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value
Set, Erhan, Aslan, Mucahit, Celik, Baris
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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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, 2021 Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis.
Akın, Lütfi
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Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces [PDF]
, 2018 We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, generalised Bessel-Riesz operators and generalised fractional integral ...
Yessirkegenov, N +5 more
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Weighted inequalities for fractional Hardy operators and commutators
Journal of Inequalities and Applications, 2019 In this paper, we introduce a fractional maximal operators Nα $N_{\alpha }$ on (0,∞) $(0,\infty )$ associated to the fractional Hardy operator Pα $P_{\alpha }$ and its dual Qα,0 ...
Wenming Li, Dong Liu, Jing Liu
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On Novel Fractional Integral and Differential Operators and Their Properties
Journal of Mathematics, 2023 The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen +6 more
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Fractional‐order operators on nonsmooth domains
Journal of the London Mathematical Society, 2023 AbstractThe fractional Laplacian , , and its generalizations to variable‐coefficient ‐order pseudodifferential operators , are studied in ‐Sobolev spaces of Bessel‐potential type . For a bounded open set , consider the homogeneous Dirichlet problem: in , in .
Abels, Helmut, Grubb, Gerd
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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