Riesz potential
Riesz Potential on the Heisenberg Group
... the Riesz potential have been done by many ...the Riesz potential for the Dunkl ...principle Riesz potentials of nonnegative continuous function on Lie groups of Heisenberg ...the ...
13
Riesz potential operators and inverses via fractional centred derivatives
... that is the modified Riesz potential [11] when − 1 < α < 0; when 0 < α < 1, it is the corre- sponding inverse operator. Both potentials (4.13) and (4.17) were studied also by Okikiolu [4]. These ...
12
Optimal couples of rearrangement invariant spaces for the Riesz potential on the bounded domain
... Optimal couples of rearrangement invariant spaces for the Riesz potential on the bounded domain Shin Min Kang1 , Arif Rafiq2 , Waqas Nazir2 , Irshaad Ahmad3 , Faisal Ali4 and Young Chel K[r] ...
15
Multilinear Riesz Potential on Morrey Herz Spaces with Non Doubling Measures
... Simultaneously many classical multilinear operators on Euclidean spaces with Leb- esgue measure have been generalized for nondoubling measures, that is, the case nonhomogeneous setting see 3, 4. For example, based on the ...
21
Continuity of Riesz potential operator in the supercritical case on unbounded domain
... maximal operator and Bessel potential operator is discussed in [] and []. Gogatishvili and Ovchinnikov in [] discussed the optimal Sobolev’s embeddings. The problem of the optimal target rearrangement ...
15
Characterizations for the Riesz potential and its commutators on generalized Orlicz Morrey spaces
... Orlicz-Morrey spaces, respectively. Also we give criteria for the weak versions of Spanne and Adams type boundedness of the Riesz potential on the generalized Orlicz-Morrey spaces. In all the cases the ...
22
Riesz potential and its commutators on Orlicz spaces
... We have obtained necessary and sufficient conditions for the boundedness of the Riesz potential and its commutators on Orlicz spaces. We have also compared our results with the existing results. Lastly, we ...
18
THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES
... Abstract: In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz (α, p(.))- capacity and discuss the properties of the ...
14
Weighted Trudinger inequality associated with rough multilinear fractional type operators
... multilinear Riesz potential or multilinear frac- tional integral, have been studied in recently years (see, for example, [, , , , , , – ...
12
Online Full Text
... For the historic development of the Riesz potential on both classical case and Lie groups, one can refer [8],[9],[10] and the references therein. We also want to mention some recent articles [2],[3],[4] ...
7
On Boundedness of Weighted Hardy Operator in and Regularity Condition
... the Riesz potential, and others in Lebesgue spaces with variable exponent, as well as the investigation of problems of regularity of nonlinear equations with nonstandard growth condition have become of late ...
14
A characterization of the two weight inequality for Riesz potentials on cones of radially decreasing functions
... dition. The same problem for multiple Hardy transform was studied by Arcozzi, Barza, Garcia-Domingo and Soria []. This problem in the two-weight setting was solved by Sawyer []. Some sufficient conditions guaranteeing ...
20
On the Boundedness of Nonisotropic Spherical Riesz Potentials
... classical Riesz poten- tials may be formulated for our generalization ...classical Riesz potentials, given in ...nonisotropic Riesz potentials and theirs generalizations were studied by many ...
8
The Riesz-Kantorovich formula for lexicographically ordered spaces
... We are ready to state and prove our main theorem, which is an improved version of Theorem 1.2. In their paper, Aliprantis, Tourky and Yannelis divide up the proof over two lemmas, Lemma 3.1 and Lemma 3.2 and use these ...
15
A Galerkin FEM for Riesz space fractional CNLS
... In quantum physics, fractional Schrödinger equation is of particular interest in the research of particles on stochastic fields modeled by the Lévy processes, which was derived by extending the Feynman path integral over ...
20
Higher order Riesz transforms for Hermite expansions
... the Riesz transforms of higher order associated with a harmonic oscillator and prove the boundedness of them on the Hardy ...the Riesz transforms play an important role in the study of harmonic analysis and ...
17
On the Generalized Riesz Difference Sequence Space and Property
... Our main subject in the present paper is to introduce the generalized Riesz difference sequence space r q p, Bm which consists of all the sequences such that their Bm -transforms are in [r] ...
18
A sequential Riesz like criterion for the Riemann hypothesis
... Necessary and sufficient conditions for the Riemann hypothesis depending only on values of ζ(s) at positive integers have been known for a long time, for example those of Riesz [7] and Hardy and Littlewood [3]. ...
11
The Riesz space structure of an Abelian W* algebra
... In V, it is shown that the real part of an Abelian W*-algebra M is a perfect Riesz space; this is used to derive the well known result that M is a dual space as a Banach space, namely, M[r] ...
86
Local feature analysis using higher-order Riesz transforms
... Initially the focus was on improving sinusoidal model estimation using higher-order Riesz trans- forms (RTs) of an image. Later the project evolved into creating a general method of modelling local image ...
260