Text

Factorizing Multilinear Kernel Operators Through Spaces of Vector Measures

We consider a multilinear kernel operator between Banach function spaces over finite measures and suitable order continuity properties, namely T:X1(μ1)×⋯×Xn(μn)→Y(μ0). Then we define, via duality, a class of linear operators associated to the j-transpose operators. We show that, under certain conditions of pth power factorability of such operators, there exist vector measures mj for j=0,1,…,n so that T factors through a multilinear operator T˜:Lp1(m1)×⋯×Lpn(mn)→Lp′0(m0)∗, provided that 1/p0=1/p1+⋯+1/pn. We apply this scheme to the study of the class of multilinear Calderón–Zygmund operators and provide some concrete examples for the homogeneous polynomial and multilinear Volterra and Laplace operators.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.112 Issue.1 February 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 30-51

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

MULTILINEAR CALDERON-ZYGMUND OPERATOR
PTH POWER FACTORABLE OPERATOR
VECTOR MEASURE

Info Detail Spesifik

DOI: https://doi.org/10.1017/S1446788719000521

Pernyataan Tanggungjawab

Orlando Galdames-Bravo

Versi lain/terkait

Lampiran Berkas

Komentar