Results 91 to 100 of about 431,197 (172)
Vanishing integrability for Riesz potentials (Theory of function spaces and related topics)
, 2023 Our aim in this note is to establish vanishing Morrey-Sobolev integrability for Riesz potentials of functions in Morrey-Orlicz spaces. We discuss the size of the exceptional sets by using a capacity and Hausdorff measure.
Mizuta, Yoshihiro, Shimomura, Tetsu
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Pointwise estimates for porous medium type equations with low order terms and measure data
Electronic Journal of Differential Equations, 2015 We study a Cauchy-Dirichlet problem with homogeneous boundary conditions on the parabolic boundary of a space-time cylinder for degenerate porous medium type equations with low order terms and a non-negative, finite Radon measure on the right-hand
Stefan Sturm
doaj
Fractional quantum oscillator and disorder in the vibrational spectra. [PDF]
Sci Rep, 2022 Stephanovich VA +4 more
europepmc +1 more source
GENERALIZED BESSEL AND RIESZ POTENTIALS ON METRIC MEASURE SPACES
, 2008 . We introduce generalized Bessel and Riesz potentials on metric measure spaces and the corresponding potential spaces. Estimates of the Bessel and Riesz kernels are given which reflect the intrinsic structure of the spaces.
J. Hu, M. Z Ähle
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Continuity properties of Riesz potentials of Orlicz functions
, 2009 In this paper we are concerned with Sobolev type inequalities for Riesz potentials of functions in Orlicz classes.
Mizuta, Yoshihiro, Shimomura, Tetsu
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An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 Buccheri S, Orsina L, Ponce AC.
europepmc +1 more source
Nonlocal Lagrange multipliers and transport densities
Bulletin of Mathematical SciencesWe prove the existence of generalized solutions of the Monge–Kantorovich equations with fractional [Formula: see text]-gradient constraint, [Formula: see text], associated to a general, possibly degenerate, linear fractional operator of the type, ℒsu ...
Assis Azevedo +2 more
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Continuity properties of Riesz potentials of Orlicz functions
In this paper we are concerned with Sobolev type inequalities for Riesz potentials of functions in Orlicz classes.
Mizuta, Yoshihiro, Shimomura, Tetsu
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Riesz Potentials and Liouville Operators on Fractals
, 2007 An analogue to the theory of Riesz potentials and Liouville operators in R for arbitrary fractal d-sets is developed. Corresponding function spaces agree with traces of euclidean Besov spaces on fractals.
M. Zähle
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Continuity estimates for Riesz potentials on polygonal boundaries
, 2022 19 pages, 2 figuresRiesz potentials are well known objects of study in the theory of singular integrals that have been the subject of recent, increased interest from the numerical analysis community due to their connections with fractional Laplace ...
Claeys, Xavier +2 more
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