Results 11 to 20 of about 21 (21)
A Multiplier Theorem for Herz‐Type Hardy Spaces Associated with the Dunkl Transform
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The main purpose of this paper is to establish a Hörmander multiplier theorem for Herz‐type Hardy spaces associated with the Dunkl transform.
A. Gasmi, Julian López-Gómez
wiley +1 more source
Exponentially Convex Functions on Hypercomplex Systems
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 A hypercomplex system (h.c.s.) L1(Q, m) is, roughly speaking, a space which is defined by a structure measure (c(A, B, r), (A, B ∈ ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties.
Buthinah A. Bin Dehaish, Zayid Abdulhadi
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Dunkl Translation and Uncentered Maximal Operator on the Real Line
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ > 0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1, 1). As a consequence, we obtain the Lp‐boundedness of this operator for 1 < p ≤ +∞.
Chokri Abdelkefi +2 more
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Generalized weighted Besov spaces on the Bessel hypergroup
Journal of Function Spaces, Volume 4, Issue 1, Page 91-111, 2006., 2006 In this paper we study generalized weighted Besov type spaces on the Bessel‐Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.
Miloud Assal +2 more
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Ergodic sequences of probability measures on commutative hypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 335-343, 2004., 2004 We study conditions on a sequence of probability measures {μn}n on a commutative hypergroup K, which ensure that, for any representation π of K on a Hilbert space ℋπ and for any ξ ∈ ℋπ, (∫Kπx(ξ)dμn(x)) n converges to a π‐invariant member of ℋπ.
Liliana Pavel
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Moments of probability measures on a group
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 1-37, 1981., 1981 New developments and results in the theory of expectatiors and variances for random variables with range in a topological group are presented in the following order (i) Introduction (2) Basic notions (3) The three series theorem in Banach spaces (4) Moment Conditions (5) Expectations and variances (6) A general three series theorem (7) The special ...
Herbert Heyer
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Some of the next articles are maybe not open access.
HARMONIC ANALYSIS OF PROBABILITY MEASURES ON HYPERGROUPS (Studies in Mathematics 20)
Bulletin of the London Mathematical Society, 1996openaire +1 more source