Abstract

In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space D μ . The multipliers of D μ and Hankel-type operators from D μ to L 2 P μ d A are also investigated.

Highlights

  • Let D be the unit disk of complex plane C

  • We provided some characterizations for the space D(μ) by the boundary value and Poisson extension

  • We denote the space of all pointwise multipliers of L2(μ) by M(L2(μ))

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Summary

Introduction

Let D be the unit disk of complex plane C. H(D) is the space of analytic functions on D. Let μ be a positive Borel measure on zD. E space D(μ) has been investigated by many authors. We study the multipliers of D(μ) and the Hankeltype operator from D(μ) to L2(PμdA). Let C1(D) denote the space of all functions on D with continuous partial derivatives.

Results
Conclusion

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