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Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces To N'Th Weighted Type Spaces
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نویسنده
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Esmaeili Kobra
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منبع
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Sahand Communications In Mathematical Analysis - 2019 - دوره : 15 - شماره : 1 - صفحه:119 -133
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چکیده
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Let h(d) denote the space of analytic functions on the open unit disc d. for a weight μ and a nonnegative integer n, the n'th weighted type space w^(n)μ is the space of all f∈h(d) such that supz∈dμ(z)∣∣f^(n)(z)∣∣<∞. endowed with the norm∥f∥w(n)μ=∑j=0n−1∣∣f(j)(0)∣∣+supz∈dμ(z)∣∣f(n)(z)∣∣, the n'th weighted type space is a banach space. in this paper, we characterize the boundedness of generalized weighted composition operators d^mφ,u from logarithmic bloch type spaces b^αlog^β to n'th weighted type spaces w^(n)μ, where u and φ are analytic functions on d and φ(d)⊆d. we also provide an estimation for the essential norm of these operators.
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کلیدواژه
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Essential Norms ,Generalized Weighted Composition Operators ,Logarithmic Bloch Type Spaces ,Nth Weighted Type Spaces
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آدرس
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Ardakan University, Faculty Of Engineering, Iran
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پست الکترونیکی
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esmaeili@ardakan.ac.ir
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Authors
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