Sentence examples for inner functions from inspiring English sources

In particular, we prove that for any p∈ 0,1) the (Qp,BMOA -improving inner functions and the (Qp,BMOA -improvingner functinnerare precisely the inner functions which belong to the spand Qp.

In particular, there exist non-constant little Bloch inner functions in the complex ball.

It is shown that inner functions in weak Besov spaces are precisely the exponential Blaschke products.

We give a complete description of the important spaces associated to matrix rational inner functions.

Fluorescent tags are ubiquitous in medicine and biology-used in everything from HIV tests to imaging the inner functions of cells.

In this paper we study the (X,Y -improving inner functions for several pairs of spaces (X,Y -improving

The chain rule can be thought of as taking the derivative of the outer function (applied to the inner function) and multiplying it times the derivative of the inner function.

Letθbe an inner function and letΛbe a Blaschke sequence in the unit disc.

Let Kϑ be a model space generated by an inner function ϑ.

By establishing a theorem of function theory over the bidisk, it is shown that a Beurling type quotient module is essentially normal if and only if the corresponding inner function is a rational inner function having degree at most (1,1).

A complex function object is composed of several inner function objects and paths; thus, it can reflect the spatial layout at various levels.