Sentence examples for be a multilinear operator from inspiring English sources

Let be a multilinear operator initially defined on the m-fold product of Schwartz spaces and taking values into the space of tempered distributions.

Let T be a multilinear operator in (m-operatorname{GSFO}(A,etata,epsilon)) with a kernel satisfying Assumptions (H2) and (H3).

Let T be a multilinear operator in (m-operatorname{GSFO}(A, s, eta,epsilon)) with kernel satisfying Assumptions (H2) and (H3).

Let (0be a multilinear operator in (m-operatorname{GSFO}(A,s, eta,epsilon)) with a kernel satisfying Assumptions (H2) and (H3).

Having fixed m ∈ N, let T be a multilinear operator initially defined on the m-fold product of Schwartz spaces and taking values into the space of tempered distributions, T : S ( R n ) × ⋯ × S ( R n ) → S ′ ( R n ).

Let T be a multilinear operator initially defined on the m-fold product of Schwartz spaces and taking values in the space of tempered distributions, T : S ( R n ) × ⋯ × S ( R n ) → S ′ ( R n ).

Assume that T is a multilinear operator in (m-operatorname{GSFO}(A, s, eta,epsilon)) with kernel satisfying Assumptions (H2) and (H3).

From now on, we always assume that T is a multilinear operator in m- GCZO ( A, s, η, ε ) and its kernel satisfies Assumption (H2).

Let T be a multilinear Calderón-Zygmund operators with a C-Z kernel of ω type and (T_{Pi b}) be the iterated commutators defined in (1.5) with (vec{b}in BMO^{m}).

Let T be a multilinear Calderón-Zygmund operators with a C-Z kernel of ω type and (T_{vec{b}}) be the commutators of the jth entries defined in (1.4) with (vec{b}in BMO^{m}).

It is well known that a multilinear operator, as a non-trivial extension of a commutator, is of great interest in harmonic analysis and has been widely studied by many authors (see [1 3]).