In this paper, by initiative research on local spectral theory of total class wF(p, r, q) operators, we get some important results. Such as total class wF(p, r,q) operators is normaloid operator, the local spectra...In this paper, by initiative research on local spectral theory of total class wF(p, r, q) operators, we get some important results. Such as total class wF(p, r,q) operators is normaloid operator, the local spectral subspace of total class wF(p, r, q) operators is equal to the space EλH(Eλ the Reisz idempotent, with respect to λ1, of T), total class wF(p, r, q) operators has finite ascent, and so on.展开更多
Firstly,some properties for(p,q)-monogenic functions withα-weight in Clifford analysis are given.Then,the Cauchy-Pompeiu formula is proved.Finally,the Cauchy integral formula and the Cauchy integral theorem for(p,q)-...Firstly,some properties for(p,q)-monogenic functions withα-weight in Clifford analysis are given.Then,the Cauchy-Pompeiu formula is proved.Finally,the Cauchy integral formula and the Cauchy integral theorem for(p,q)-monogenic functions withα-weight are given.展开更多
文摘In this paper, by initiative research on local spectral theory of total class wF(p, r, q) operators, we get some important results. Such as total class wF(p, r,q) operators is normaloid operator, the local spectral subspace of total class wF(p, r, q) operators is equal to the space EλH(Eλ the Reisz idempotent, with respect to λ1, of T), total class wF(p, r, q) operators has finite ascent, and so on.
基金Supported by the National Natural Science Foundation of China(11871191)the Science Foundation of Hebei Province(A2023205006,A2019106037)+2 种基金the Key Development Foundation of Hebei Normal University in2024(L2024ZD08)the Graduate Student Innovation Project Fund of Hebei Province(CXZZBS2022066)the Key Foundation of Hebei Normal University(L2018Z01)。
文摘Firstly,some properties for(p,q)-monogenic functions withα-weight in Clifford analysis are given.Then,the Cauchy-Pompeiu formula is proved.Finally,the Cauchy integral formula and the Cauchy integral theorem for(p,q)-monogenic functions withα-weight are given.