Sentence examples for operators of type from inspiring English sources

Two uniqueness results for C0 semigroups on weighted Lp spaces over Rn generated by operators of type Δ+β·∇ with singular drift β are proven.

If either X⁎⁎⁎ or Y has the approximation property, then each α-nuclear operator T:X⁎→Y such that T⁎(Y⁎)⊂X can be approximated in the α-nuclear norm by finite-rank operators of type X⊗Y.

4, we establish the rate of convergence of the operators of type (left( 4right)).

Based on Taberski's study [14], Siudut [15, 16] obtained significant results relating the pointwise convergence of singular integrals by considering the operators of type (3).

Note that Rydzewska [23] also improved her previous work [12] using the results of [20], and she obtained the rate of convergence of the operators of type (3).

Singular integrals consist of the different settings of the operators of type (1) with an appropriate singularity assumption on the kernel.

(1.17) The generalized fractional integral operators of types (1.16) and (1.17) have been introduced by Marichev [22] and later extended and studied by Saigo and Maeda [23].

Thus ^ is an operator of type [e]i → e → [e]i+1.

Assume that is a sectorial operator of type and is a solution operator generated by.

We note that an operator of type ((p,q)) is also of weak type ((p,q)).

Subrahmanyam has initiated the concept of Banach operator of type k in complete metric spaces.