Results 11 to 20 of about 527 (59)
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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Fourier algebras of hypergroups and central algebras on compact (quantum) groups
, 2016 This paper concerns the study of regular Fourier hypergroups through multipliers of their associated Fourier algebras. We establish hypergroup analogues of well-known characterizations of group amenability, introduce a notion of weak amenability for ...
Alaghmandan, Mahmood, Crann, Jason
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Amenability notions of hypergroups and some applications to locally compact groups
, 2016 Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras.
Alaghmandan, Mahmood
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, 2016 Weighted group algebras have been studied extensively in Abstract Harmonic Analysis where complete characterizations have been found for some important properties of weighted group algebras, namely amenability and Arens regularity.
Alaghmandan, Mahmood, Samei, Ebrahim
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Hypergroups and Hypergroup Algebras [PDF]
, 2011 The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
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