On the growth of a subharmonic function with Riesz’ measure on a ray

Анотація

We consider functions v subharmonic in Rⁿ, n ≥ 2, which are natural counterparts of Weierstrass canonical products (so-called Weierstrass canonical integrals). Under assumptions that the order of v is a noninteger number and the Riesz measure of v is supported by a ray we obtain sharp estimates of asymptotical behavior of v at infinity along rays.