A theorem on Blaschke quotients.
Some Analytic Functions Whose Boundary Values Have Bounded Mean Oscillation.
Analytic Functions with Bounded Mean Oscillation and Logarithms of HP Functions.
Linear spaces and linear-invariant families of locally univalent analytic functions.
Limit cycles for vector fields with homogeneous components
We study planar polynomial differential equations with homogeneous components. This kind of equations present a simple and well known dynamics when the degrees (n and m) of both components coincide. Here we consider the case and we show that the dynamics is more complicated. In fact, we prove that such systems can exhibit periodic orbits only when nm is odd. Furthermore, for nm odd we give examples of such differential equations with at least (n+m)/2 limit cycles.
Holomorphic extension from the sphere to the ball in Hilbert space
The projective limit of the spaces
Growth estimates for generalized factors of spaces
With φ an inner function and the multiplication operator on a given Hardy space it is known that for any given function f in the Hardy space we may use the Wold decomposition to obtain a factorization of the given f (not the Riesz factorization). This new factorization has been shown to be useful in the study of commutants of Toeplitz operators. We study the smoothness of each factor of this factorization. We show in some cases that the factors lie in the same Hardy space (or smoothness class)...
The basic properties of Bloch functions.
A limit theorem for harmonic functions generated by the Bergman-Whittaker operator
Positive and oscillatory radial solutions of semilinear elliptic equations.
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