We will prove an analogue of Landauʼs necessary conditions [HJ Landau, Necessary
density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 …

In this paper we study the Bessel process R t (μ) R_t^(μ) with index μ≠ 0 starting from x> 0
and killed when it reaches a positive level a, where x> a> 0. We provide sharp estimates of …

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In this article we consider certain types of weighted generalized functions associated with
nondegenerate quadratic forms. Such functions and their derivatives are used for …

We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi
and Fourier–Bessel expansions. We prove sharp estimates for the corresponding potential …

gk-Functions related to the Poisson semigroup of Fourier–Bessel expansions are defined for
each k⩾ 1. It is proved that these gk-functions are Calderón–Zygmund operators in the …

A transplantation theorem for Jacobi series proved by Muckenhoupt is reinvestigated by
means of a suitable variant of Calderón–Zygmund operator theory. An essential novelty of …

We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted
norm and weak type (1, 1) inequalities are proved for this operator by using a local version …

arXiv:2104.14974v1 [math.CA] 30 Apr 2021 Page 1 VARIATION OPERATORS FOR
SEMIGROUPS ASSOCIATED WITH FOURIER-BESSEL EXPANSIONS JJ BETANCOR, AJ …

We study Hardy spaces for Fourier-Bessel expansions associated with Bessel operators on
((0, 1), x^ 2 ν+ 1 dx) and ((0, 1), dx). We define Hardy spaces H 1 as the sets of L 1-functions …