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Spaces BMO(p(.))(D) of a variable exponent p(z)

Author:
Karapetyants, Alexey  Samko, Stefan  


Journal:
GEORGIAN MATHEMATICAL JOURNAL


Issue Date:
2010


Abstract(summary):

We introduce and describe the spaces BMO(p(.))(D), I <= p(z) < infinity, of functions of bounded mean oscillation over the unit disc in the complex plane in the hyperbolic Bergman metric with respect to the Lebesgue measure and the variable exponent p = p(z).


Page:
529---542


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