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Weighted spaces of holomorphic functions on the quarter plane and strip | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 15، شماره 5، مرداد 2024، صفحه 363-369 اصل مقاله (527.19 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.31376.4666 | ||
| نویسنده | ||
| Mohammad Ali Ardalani* | ||
| Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-15175, Sanandaj, Iran | ||
| تاریخ دریافت: 30 مرداد 1402، تاریخ پذیرش: 25 مهر 1402 | ||
| چکیده | ||
| In this paper, We investigate weighted spaces of holomorphic functions on some subsets of the complex plane such as the quarter plane and a strip in the upper half plane and we obtain isomorphic classification of these weighted spaces. Also, we characterize the boundedness of composition operators between weighted spaces of holomorphic functions on the quarter plane and strip. At last, we study a special subspace of holomorphic functions on the quarter plane. | ||
| کلیدواژهها | ||
| Weighted spaces؛ holmorphic functions؛ isomorphism of Banach spaces؛ quarter plane؛ strip | ||
| مراجع | ||
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[1] M.A. Ardalani and W. Lusky, Weighted spaces of holomorphic 2π periodic functions on the upper halfplane, Funct. Approx. Comment. Math. 44 (2011), no. 2, 191–201. [2] M.A. Ardalani and W. Lusky, Bounded operators on weighted spaces of holomorphic functions on the upper halfplane, Studia Math. 209 (2012), no. 3, 225–234. [3] M.A. Ardalani and W. Lusky, Weighted spaces of holomorphic functions on the upper halfplane, Math. Scand. 111 (2012), no. 2, 244–260. [4] M.A. Ardalani, Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane, Georgian Math. J. 26 (2019), no. 1, 13–19. [5] A. Harutyunyan and W. Lusky, A remark on the isomorphic classification of weighted spaces of holomorphic functions on the upper halfplane, Ann. Univ. Sci. Budapest Sect. Comp. 39 (2013), 125–135. [6] W. Lusky, On weighted spaces of harmonic and holomorphic functions, J. London Math. Soc. 51 (1995), 309–320. [7] W. Lusky, On the isomorphism classes of weighted spaces of harmonic and holomorphic functions, Studia. Math. 75 (2006), no. 1, 19–45. [8] A.L. Shields and D.L. Willams, Bounded projections, duality and multipliers in spaces of analytic functions, Trans. Amer. Math. Soc. 162 (1971), 287–302. [9] A.L. Shields and D.L. Willams, Bounded projections and the growth of harmonic conjugates in the unit disc, Mich. Math. J. 29 (1982), 3–25. [10] M.A. Stanev, Weighted Banach spaces of holomorphic functions in the upper half-plane, arXiv: math.FA/9911082vl, 1999. | ||
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