Sentence examples for singular operator from inspiring English sources

Definition 4.10 (Φ-admissible commutator singular operator).

Definition 2.7 (Φ-admissible singular operator).

Definition 2.8 (Weak Φ-admissible singular operator).

In the case Φ ( r ) = r p, 1 < p < ∞, the Φ-admissible commutator singular operator will be called a p-admissible commutator singular operator.

In the case Φ ( r ) = r p, 1 < p < ∞, the Φ-admissible singular operator will be called the p-admissible singular operator.

In the case Φ ( r ) = r p, 1 ≤ p < ∞. the weak Φ-admissible singular operator will be called weak p-admissible singular operator.

We aim to solve an inverse problem for singular operators.

Remark 2.9 Note that in [14], Φ-admissible singular operators and weak Φ-admissible singular operators were introduced and their boundedness on generalized Orlicz-Morrey spaces was studied.

We also show that strictly singular operators on ℓ∞ are commutators.

Many questions of the theory of operators (for example, theory of singular operators, theory of potentials and etc).

As concerns the study of linear singular operators in several settings, the reader may see also e.g. [19 23].