AN INVESTIGATION OF COMPOSITION OPERATORS BETWEEN EXPONENTIAL WEIGHTED SPACES

E. Dalam

  DOI:  https://doi.org/10.37418/amsj.9.11.17

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Exponential weight plays the main role in the study of boundedness and compactness of variations held by composition operators. In this paper Hardy’s and Bergman spaces’ exponential weight were introduced, and applied an exponential weight function to find the difference of composition operators between weighted Bergman spaces and weighted Hardy spaces of analytic functions that were defined on unit circle D. In particular, as an application, the condition for boundedness and compactness of the difference operated between weighted Hardy spaces and weighted Bergman spaces has been discussed.

Keywords: Composition operators, exponential weight, analytic functions, disc, weighted Hardy spaces, weighted Bergman spaces.