On the mean modulus of an analytic function
نویسندگان
چکیده
منابع مشابه
On the Mean Modulus of an Analytic Function
For fixed ƒ and r this mean modulus Mt(r;f) as a function of / is continuous, nonnegative, nondecreasing, and is bounded above by the maximum modulus of ƒ on C(r) [l, 2 ] . 1 Therefore the limit of Mt(r;f) exists as /—>0 and /—» oo. This limit is defined to be the mean modulus of ƒ on C(r) of order 0 and of order oo respectively. I t may be shown that the mean modulus of order 0 is the geometri...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1949
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1949-09197-8