Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
-
Mohammad Ali Ardalani
Abstract
In this paper, we consider the weighted spaces of holomorphic functions on some open subsets of the complex plane and characterize the isomorphism classes of these spaces whenever our weights are warped and satisfy certain growth conditions.
References
[1] M. A. Ardalani and W. Lusky, Weighted spaces of holomorphic functions on the upper halfplane, Math. Scand. 111 (2012), no. 2, 244–260. 10.7146/math.scand.a-15226Suche in Google Scholar
[2] K. D. Bierstedt and W. H. Summers, Biduals of weighted Banach spaces of analytic functions, J. Aust. Math. Soc. Ser. A 54 (1993), no. 1, 70–79. 10.1017/S1446788700036983Suche in Google Scholar
[3] A. Harutyunyan and W. Lusky, A remark on the isomorphic classification of weighted spaces of holomorphic functions on the upper half plane, Ann. Univ. Sci. Budapest. Sect. Comput. 39 (2013), 125–135. Suche in Google Scholar
[4] W. Lusky, On weighted spaces of harmonic and holomorphic functions, J. Lond. Math. Soc. (2) 51 (1995), no. 2, 309–320. 10.1112/jlms/51.2.309Suche in Google Scholar
[5] W. Lusky, On the isomorphism classes of weighted spaces of harmonic and holomorphic functions, Studia Math. 175 (2006), no. 1, 19–45. 10.4064/sm175-1-2Suche in Google Scholar
[6] 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. 10.2307/1995754Suche in Google Scholar
[7] A. L. Shields and D. L. Willams, Bounded projections, duality, and multipliers in spaces of harmonic functions, J. Reine Angew. Math. 299–300 (1978), 256–279. 10.1515/crll.1978.299-300.256Suche in Google Scholar
[8] A. L. Shields and D. L. Willams, Bounded projections and the growth of harmonic conjugates in the unit disc, Michigan Math. J. 29 (1982), no. 1, 3–25. 10.1307/mmj/1029002611Suche in Google Scholar
[9] M. A. Stanev, Weighted Banach spaces of holomorphic functions in the upper half-plane, preprint (1999), https://arxiv.org/abs/math/9911082. Suche in Google Scholar
© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound
- Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
- Asymptotic behavior of solutions of fractional nabla q-difference equations
- A decomposition theorem for locally compact groups
- An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition
- Entire function sharing a small function with its mixed-operators
- Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
- On the full transitivity of a cotorsion hull
- Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization
- On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
- On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
- On the generalized absolute convergence of Fourier series
- Embedding theorems for Besov–Morrey spaces of many groups of variables
-
Projective flatness of a new class of
- Spread relation of E-valued meromorphic functions and its application
- q-dual mixed volumes and Lp-intersection bodies
Artikel in diesem Heft
- Frontmatter
- Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound
- Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
- Asymptotic behavior of solutions of fractional nabla q-difference equations
- A decomposition theorem for locally compact groups
- An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition
- Entire function sharing a small function with its mixed-operators
- Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
- On the full transitivity of a cotorsion hull
- Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization
- On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
- On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
- On the generalized absolute convergence of Fourier series
- Embedding theorems for Besov–Morrey spaces of many groups of variables
-
Projective flatness of a new class of
- Spread relation of E-valued meromorphic functions and its application
- q-dual mixed volumes and Lp-intersection bodies
