Article
Properties of D-metric Spaces and weighted composition Operators Between Hyperbolic Function Spaces
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Abstract
The two weighted hyperbolic classes $B^*_{\alpha,\log\beta}$ are introduced and studied. Moreover, D-metric space in $B^*_{\alpha,\log\beta}$ and $Q^*_{K(p,q)}$ general spaces is presented. We show that the two classes $B^*_{\alpha,\log\beta}$ and $Q^*_{K(p,q)}$ are complete metric space. Finally, we establish the conditions needed for the weighted $uC_\phi$ operator to be bounded and compact.
Keywords
D-metric Spaces, weighted composition operator, Hyperbolic Function Spaces
Citation
Abd-Elhafeez, S. A., Kamal, A., & Eissa, M. H. (2022). Properties of d-metric spaces and weighted composition operators between hyperbolic function spaces. Numerical and Computational Methods in Sciences and Engineering, 4(1), 21–29. https://doi.org/10.18576/ncmse/040103
S. A. Abd-Elhafeez, A. Kamal and M. H. Eissa, “Properties of d-metric spaces and weighted composition operators between hyperbolic function spaces,” Numerical and Computational Methods in Sciences and Engineering, vol. 4, no. 1, pp. 21–29, 2022, doi: 10.18576/ncmse/040103.
Abd-Elhafeez SA, Kamal A, Eissa MH. Properties of d-metric spaces and weighted composition operators between hyperbolic function spaces. Numerical and Computational Methods in Sciences and Engineering. 2022;4(1):21–29. doi:10.18576/ncmse/040103.
Abd-Elhafeez, S. A., Kamal, A. and Eissa, M. H. (2022), ‘Properties of d-metric spaces and weighted composition operators between hyperbolic function spaces’, Numerical and Computational Methods in Sciences and Engineering, 4(1), pp. 21–29. Available at: https://doi.org/10.18576/ncmse/040103.
Abd-Elhafeez, Samy A., et al. “Properties of D-metric Spaces and Weighted Composition Operators Between Hyperbolic Function Spaces.” Numerical and Computational Methods in Sciences and Engineering, vol. 4, no. 1, 2022, pp. 21–29. https://doi.org/10.18576/ncmse/040103.
Abd-Elhafeez, Samy A., A. Kamal, and M. Hamza Eissa. “Properties of D-metric Spaces and Weighted Composition Operators Between Hyperbolic Function Spaces.” Numerical and Computational Methods in Sciences and Engineering 4, no. 1 (2022): 21–29. https://doi.org/10.18576/ncmse/040103.
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