Saadi, Faouaz; Daher, Radouan Equivalence of \(K\)-functionals and modulus of smoothness generated by a Dunkl type operator on the interval \((-1, 1)\). (English) Zbl 07811824 C. R., Math., Acad. Sci. Paris 361, 1625-1633 (2023). MSC: 46E35 33D60 43A30 PDFBibTeX XMLCite \textit{F. Saadi} and \textit{R. Daher}, C. R., Math., Acad. Sci. Paris 361, 1625--1633 (2023; Zbl 07811824) Full Text: DOI
Daher, Radouan; Tyr, Othman Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\). (English) Zbl 1501.33007 Ramanujan J. 57, No. 1, 119-134 (2022). MSC: 33D15 42B10 47B48 PDFBibTeX XMLCite \textit{R. Daher} and \textit{O. Tyr}, Ramanujan J. 57, No. 1, 119--134 (2022; Zbl 1501.33007) Full Text: DOI
Saadi, Faouaz; Tyr, Othman; Daher, Radouan Generalized Hausdorff operators on \(\dot{K}_{\alpha, q}^{\beta, p}(\mathbb{R})\) and \(H\dot{K}_{\alpha, q}^{\beta, p, N}(\mathbb{R})\) in the Dunkl settings. (English) Zbl 1489.47059 J. Funct. Spaces 2021, Article ID 6547407, 8 p. (2021). MSC: 47B38 46F12 42B35 PDFBibTeX XMLCite \textit{F. Saadi} et al., J. Funct. Spaces 2021, Article ID 6547407, 8 p. (2021; Zbl 1489.47059) Full Text: DOI
Daher, Radouan; Saadi, Faouaz Dunkl-Hausdorff operators on \(BMO_{\alpha}(\mathbb{R})\) and \(W_{\alpha}^{p,r}(\mathbb{R})\). (English) Zbl 1482.47087 Rend. Circ. Mat. Palermo (2) 70, No. 2, 853-860 (2021). MSC: 47G10 47B38 43A32 PDFBibTeX XMLCite \textit{R. Daher} and \textit{F. Saadi}, Rend. Circ. Mat. Palermo (2) 70, No. 2, 853--860 (2021; Zbl 1482.47087) Full Text: DOI
Daher, Radouan; Saadi, Faouaz The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform. (English) Zbl 07270939 J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1821-1831 (2020). MSC: 47G10 47B38 43A32 PDFBibTeX XMLCite \textit{R. Daher} and \textit{F. Saadi}, J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1821--1831 (2020; Zbl 07270939) Full Text: DOI
Daher, Radouan; Saadi, Faouaz Boundedness of multidimensional Dunkl-Hausdorff operators. (English) Zbl 1437.47014 J. Funct. Spaces 2020, Article ID 1071746, 7 p. (2020). MSC: 47B38 46E30 42B30 PDFBibTeX XMLCite \textit{R. Daher} and \textit{F. Saadi}, J. Funct. Spaces 2020, Article ID 1071746, 7 p. (2020; Zbl 1437.47014) Full Text: DOI
El Hamma, Mohamed; Daher, Radouan On some theorems of the Dunkl-Lipschitz class for the Dunkl transform. (English) Zbl 1425.42013 Lobachevskii J. Math. 40, No. 8, 1157-1163 (2019). MSC: 42B10 33C80 PDFBibTeX XMLCite \textit{M. El Hamma} and \textit{R. Daher}, Lobachevskii J. Math. 40, No. 8, 1157--1163 (2019; Zbl 1425.42013) Full Text: DOI
Daher, Radouan; Saadi, Faouaz The Dunkl-Hausdorff operator is bounded on the real Hardy space \(H^1_\alpha (\mathbb{R})\). (English) Zbl 07111878 Integral Transforms Spec. Funct. 30, No. 11, 882-892 (2019). MSC: 47G10 47B38 43A32 42B30 42B35 PDFBibTeX XMLCite \textit{R. Daher} and \textit{F. Saadi}, Integral Transforms Spec. Funct. 30, No. 11, 882--892 (2019; Zbl 07111878) Full Text: DOI
Daher, R.; El Ouadih, S. On the approximation by entire functions of exponential type in \(L_{p,\alpha}(\mathbb {R})\). (English) Zbl 1378.41003 J. Pseudo-Differ. Oper. Appl. 8, No. 2, 341-347 (2017). MSC: 41A27 PDFBibTeX XMLCite \textit{R. Daher} and \textit{S. El Ouadih}, J. Pseudo-Differ. Oper. Appl. 8, No. 2, 341--347 (2017; Zbl 1378.41003) Full Text: DOI
Daher, R.; El Ouadih, S. Nikol’skii-Besov spaces and their approximation characteristics for Dunkl harmonic analysis. (English) Zbl 1370.41031 Asia Pac. J. Math. 2, No. 1, 41-53 (2015). Reviewer: Alexander Tovstolis (Orlando) MSC: 41A30 33C10 34L40 41A65 42A99 44A05 46F12 PDFBibTeX XMLCite \textit{R. Daher} and \textit{S. El Ouadih}, Asia Pac. J. Math. 2, No. 1, 41--53 (2015; Zbl 1370.41031) Full Text: Link
El Hamma, Mohamed; Daher, Radouan Dini Lipschitz functions for the Dunkl transform in the space \(\mathrm{L}^{2}(\mathbb{R}^{d},w_{k}(x)dx)\). (English) Zbl 1320.42007 Rend. Circ. Mat. Palermo (2) 64, No. 2, 241-249 (2015). MSC: 42B10 42B37 PDFBibTeX XMLCite \textit{M. El Hamma} and \textit{R. Daher}, Rend. Circ. Mat. Palermo (2) 64, No. 2, 241--249 (2015; Zbl 1320.42007) Full Text: DOI
Boujeddaine, M.; Daher, R.; El Hamma, M. Sobolev spaces for the Dunkl operator on the real line. (English) Zbl 1356.44001 Asia Pac. J. Math. 1, No. 2, 176-181 (2014). MSC: 44A10 46E35 PDFBibTeX XMLCite \textit{M. Boujeddaine} et al., Asia Pac. J. Math. 1, No. 2, 176--181 (2014; Zbl 1356.44001) Full Text: Link
Daher, Radouan; Boujeddaine, Mustapha; El Hamma, Mohamed Dunkl transform of \((\beta,\gamma)\)-Dunkl Lipschitz functions. (English) Zbl 1334.46023 Proc. Japan Acad., Ser. A 90, No. 9, 135-137 (2014). Reviewer: Mahmoud Annaby (Giza) MSC: 46E30 44A15 41A25 41A17 PDFBibTeX XMLCite \textit{R. Daher} et al., Proc. Japan Acad., Ser. A 90, No. 9, 135--137 (2014; Zbl 1334.46023) Full Text: DOI Euclid
El Hamma, M.; Daher, R. Estimate of \(K\)-functionals and modulus of smoothness constructed by generalized spherical mean operator. (English) Zbl 1328.47036 Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 235-242 (2014). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 47B38 33C52 33C67 PDFBibTeX XMLCite \textit{M. El Hamma} and \textit{R. Daher}, Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 235--242 (2014; Zbl 1328.47036) Full Text: DOI
Chouchene, F.; Daher, R.; Kawazoe, T.; Mejjaoli, H. Miyachi’s theorem for the Dunkl transform. (English) Zbl 1210.43005 Integral Transforms Spec. Funct. 22, No. 1-3, 167-173 (2011). MSC: 43A32 51F15 PDFBibTeX XMLCite \textit{F. Chouchene} et al., Integral Transforms Spec. Funct. 22, No. 1--3, 167--173 (2011; Zbl 1210.43005) Full Text: DOI