Displaying similar documents to “Commutants of the Pommiez operator.”

Convolution operators on spaces of holomorphic functions

Tobias Lorson, Jürgen Müller (2015)

Studia Mathematica

Similarity:

A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.

Explicit solution for Lamé and other PDE systems

Alexei Rodionov (2006)

Applications of Mathematics

Similarity:

We provide a general series form solution for second-order linear PDE system with constant coefficients and prove a convergence theorem. The equations of three dimensional elastic equilibrium are solved as an example. Another convergence theorem is proved for this particular system. We also consider a possibility to represent solutions in a finite form as partial sums of the series with terms depending on several complex variables.

Norm and Taylor coefficients estimates of holomorphic functions in balls

Jacob Burbeam, Do Young Kwak (1991)

Annales Polonici Mathematici

Similarity:

A classical result of Hardy and Littlewood states that if f ( z ) = m = 0 a m z m is in H p , 0 < p ≤ 2, of the unit disk of ℂ, then m = 0 ( m + 1 ) p - 2 | a m | p c p f p p where c p is a positive constant depending only on p. In this paper, we provide an extension of this result to Hardy and weighted Bergman spaces in the unit ball of n , and use this extension to study some related multiplier problems in n .