Sentence examples for maximal operators play from inspiring English sources

Maximal operators play an important role in the differentiability properties of functions, singular integrals and partial differential equations.

The problem of finding zero points for maximal monotone operators plays an important role in optimizations.

It is well known that the maximal and singular integral operators play an important role in harmonic analysis (see [7, 8]).

The fundamental operators play the main role in this model.

For instance, the boundedness of Fourier multiplier operators plays a crucial role in the theory of linear PDE's, especially in the study of maximal regularity for elliptic and parabolic PDE's.

The study of operators plays a vital role in mathematics.

For example, Hardy operators, Hardy-Littlewood maximal operators, fractional integral operators, fractional maximal operators are admissible on ℝ (see [31]).

For instance: Hardy operators, Hardy-Littlewood maximal operators, Riemann-Liouville, and Weyl fractional integral operators, maximal fractional operators, etc.

In this paper we study the regularity properties of two maximal operators of convolution type: the heat flow maximal operator (associated to the Gauss kernel) and the Poisson maximal operator (associated to the Poisson kernel).

There are, then, as many observables and kinds of physical properties for an operator f(Q) as there are ways to construct f(Q) from maximal operators.

We derive weighted norm estimates for integral operators of potential type and for their related maximal operators.