Weighted integrability of Laguerre–Bessel transforms
-
Larbi Rakhimi
,
Radouan Daher
Abstract
The problem of weighted integrability of the Laguerre–Bessel transform in terms of the moduli of smoothness related to generalized translations is considered. Sufficient conditions are given to solve this problem. These results generalize a famous Titchmarsh’s theorem, due to [L. Rakhimi and R. Daher, An analog of Titchmarsh’s theorem for the Laguerre–Bessel transform, Arab. J. Math. Sci. 2023, 10.1108/AJMS-04-2022-0101] in the Laguerre–Bessel hypergroup. Also some results connected with the integrability of Laguerre–Bessel transforms are given.
References
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- Infinitely many solutions for a p(x)-triharmonic equation with Navier boundary conditions
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- A new notion of convergence defined by weak Fibonacci lacunary statistical convergence in normed spaces
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Articles in the same Issue
- Frontmatter
- Convergence of matrix transform means with respect to the Walsh–Kaczmarz system
- Analysis of the embedded cell method in 2D for the numerical homogenization of metal-ceramic composite materials
- Weighted integrability of Laguerre–Bessel transforms
- Infinitely many solutions for a p(x)-triharmonic equation with Navier boundary conditions
- Bounds of some divergence measures using Green’s function and Fink’s identity via Diamond Integrals
- Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds
- Some observations on ℐ-statistically pre-Cauchy sequences of complex uncertain variables defined by Orlicz functions
- Kat\v{e}tov--Blass order and measurable filters on ℕ
- ℐ-monotonic convergence of sequences of bi-complex numbers
- On the geometry of semi-slant submanifolds of a conformal Kenmotsu manifold
- Existence of multiple unbounded solutions for a three-point boundary value problems on an infinite time scales
- A simple approach for studying stability properties of an SEIRS epidemic model
- α-, β- and γ-duals of the sequence spaces formed by a regular matrix of Tetranacci numbers
- A new notion of convergence defined by weak Fibonacci lacunary statistical convergence in normed spaces
- Recurrence relations for the joint distribution of the sum and maximum of independent random variables
- Lacunary weak convergence of sequences defined by Orlicz function
- On the stability of a double porous elastic system with visco-porous damping
