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We use a Holder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We… Click to show full abstract
We use a Holder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We describe outer functions in the disc and find the smoothness decay of a function in comparison with the smoothness of its modulus on the boundary, in the case of the disc and of the ball.
Keywords:
analytic functions;
variable smoothness;
functions classes;
functions variable;
outer functions;
classes analytic
Journal Title: Journal of Mathematical Sciences
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!