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Holomorphic functions of finite order generated by Dirichlet series

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1 Published in 2022 at "Banach Journal of Mathematical Analysis"

DOI: 10.1007/s43037-022-00184-8

Abstract: Given a frequency λ = (λn) and l ≥ 0, we introduce the scale of Banach spaces H ∞,l[Re > 0] of holomorphic functions f on the right half-plane [Re > 0], which satisfy (A)… read more here.

Keywords: riesz; holomorphic functions; order; dirichlet series ... See more keywords

Riesz transforms for the Weinstein operator

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1 Published in 2017 at "Integral Transforms and Special Functions"

DOI: 10.1080/10652469.2017.1358713

Abstract: ABSTRACT In this paper we study the Riesz transforms related to the Weinstein operators . We develop for a theory that runs parallel to the one for the Euclidean Riesz Transform. It is proved that… read more here.

Keywords: transforms weinstein; weinstein operator; riesz; riesz transforms ... See more keywords

Continuity Points Via Riesz Potentials for ℂ-Elliptic Operators

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0 Published in 2020 at "Quarterly Journal of Mathematics"

DOI: 10.1093/qmathj/haaa027

Abstract: We establish a Riesz potential criterion for Lebesgue continuity points of functions of bounded A-variation, where A is a C-elliptic differential operator of arbitrary order. This result might even be of interest for classical functions… read more here.

Keywords: riesz; riesz potentials; points via; via riesz ... See more keywords

On Riesz derivative

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1 Published in 2019 at "Fractional Calculus and Applied Analysis"

DOI: 10.1515/fca-2019-0019

Abstract: Abstract This paper focuses on studying Riesz derivative. An interesting investigation on properties of Riesz derivative in one dimension indicates that it is distinct from other fractional derivatives such as Riemann-Liouville derivative and Caputo derivative.… read more here.

Keywords: riesz; riesz derivative;

On generalized statistical convergence and boundedness of Riesz space-valued sequences

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1 Published in 2019 at "Filomat"

DOI: 10.2298/fil1915989p

Abstract: We consider the notion of generalized density, namely, the natural density of weight 1 recently introduced in [4] and primarily study some sufficient and almost converse necessary conditions for the generalized statistically convergent sequence under… read more here.

Keywords: convergence boundedness; boundedness riesz; generalized statistically; statistical convergence ... See more keywords