Systems of partial differential equations in the space of functions analytic in a ball and having given growth near its boundary

On space of holomorphic functions with boundary smoothness and its dual

“…The proof of Theorem 4.1 is based on a theorem by L. Hörmander [23] and is proved by a standard scheme, see, for instance, [24]. We denote by 𝑀 [𝑝 × 𝑞] the set of matrices with 𝑝 rows and 𝑞 columns, the entries of which are polynomials.…”

“…The proof of Theorem 4.1 follows a standard scheme, see, for instance, [24]. We just note that as the function 𝑑 we can take the function 𝑑(𝑧) := (𝑅 𝑛 + ‖𝑧‖) −𝑛 , where 𝑅 𝑛 is a sufficiently large positive number.…”