On Composition Operators on N+(?)
Authors:
Article info
1996-10-22
1998-10-27
1998-10-27
21 - 28
Keywords
Abstract
Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant. Let ? be a non-constant analytic function from ? into itself Define the composition operator C?, on N(?) by C?f=fo?, V f € N(?). Then C?, maps N+(?) into itself. Here we characterize the invertibility of C? when ? is finitely connected with boundary ? consisting of disjoint analytic simple closed curves and we give a necessary condition for the density of the range of C?, in N+(?). Moreover, we consider linear isometries on N+(?) and their relation to C?.
Masri, M. (1998). On Composition Operators on N+(?). An-Najah University Journal for Research - A (Natural Sciences), 12(1), 21–28. https://doi.org/10.35552/anujr.a.12.1.389
[1]M. Masri, “On Composition Operators on N+(?),” An-Najah University Journal for Research - A (Natural Sciences), vol. 12, no. 1, pp. 21–28, Jan. 1998, doi: 10.35552/anujr.a.12.1.389.
Masri, Mahmud. “On Composition Operators on N+(?).” An-Najah University Journal for Research - A (Natural Sciences), vol. 12, no. 1, Jan. 1998, pp. 21–28. Crossref, https://doi.org/10.35552/anujr.a.12.1.389.
1.Masri M. On Composition Operators on N+(?). An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1998 Jan;12(1):21–8. Available from: http://dx.doi.org/10.35552/anujr.a.12.1.389
Masri, Mahmud. “On Composition Operators on N+(?).” An-Najah University Journal for Research - A (Natural Sciences) 12, no. 1 (January 1998): 21–28. https://doi.org/10.35552/anujr.a.12.1.389.
On Composition Operators on N+(?)
المؤلفون:
معلومات المقال
1996-10-22
1998-10-27
1998-10-27
21 - 28
الكلمات الإفتتاحية
الملخص
Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant. Let ? be a non-constant analytic function from ? into itself Define the composition operator C?, on N(?) by C?f=fo?, V f € N(?). Then C?, maps N+(?) into itself. Here we characterize the invertibility of C? when ? is finitely connected with boundary ? consisting of disjoint analytic simple closed curves and we give a necessary condition for the density of the range of C?, in N+(?). Moreover, we consider linear isometries on N+(?) and their relation to C?.
Masri, M. (1998). On Composition Operators on N+(?). An-Najah University Journal for Research - A (Natural Sciences), 12(1), 21–28. https://doi.org/10.35552/anujr.a.12.1.389
[1]M. Masri, “On Composition Operators on N+(?),” An-Najah University Journal for Research - A (Natural Sciences), vol. 12, no. 1, pp. 21–28, Jan. 1998, doi: 10.35552/anujr.a.12.1.389.
Masri, Mahmud. “On Composition Operators on N+(?).” An-Najah University Journal for Research - A (Natural Sciences), vol. 12, no. 1, Jan. 1998, pp. 21–28. Crossref, https://doi.org/10.35552/anujr.a.12.1.389.
1.Masri M. On Composition Operators on N+(?). An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1998 Jan;12(1):21–8. Available from: http://dx.doi.org/10.35552/anujr.a.12.1.389
Masri, Mahmud. “On Composition Operators on N+(?).” An-Najah University Journal for Research - A (Natural Sciences) 12, no. 1 (January 1998): 21–28. https://doi.org/10.35552/anujr.a.12.1.389.
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