与Rd上的dunkl算子相关的总Morrey空间的一些嵌入

Q4 Mathematics

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences Pub Date : 2023-01-01 DOI:10.30546/2617-7900.43.1.2023.94

F. A. Muslumova

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引用次数: 0

摘要

。在rd上，Dunkl算子(cid:8) d k,j (cid:9) d j =1是在rd上与反射群zd2相关联的微分-差分算子。研究了总Morrey空间(dk -总Morrey空间)L p，λ，µ(µk)， 0≤λ，µ< D + 2 γ k与R D上的Dunkl算子相关的嵌入。这些空间推广了与R d (dk -Morrey空间)上的Dunkl算子相关的Morrey空间，使得L p，λ(µk)≡L p，λ，λ(µk)，以及与R d(修改dk -Morrey空间)上的Dunkl算子相关的修正Morrey空间，使得(cid:101) L p，λ(µk)≡L p，λ， 0(µk)。

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Some embeddings into the total Morrey spaces associated with the Dunkl operator on Rd

. On the R d the Dunkl operators (cid:8) D k,j (cid:9) d j =1 are the differential-difference operators associated with the reﬂection group Z d 2 on R d . We study some embeddings into the total Morrey space ( D k - total Morrey space) L p,λ,µ ( µ k ) , 0 ≤ λ, µ < d + 2 γ k associated with the Dunkl operator on R d . These spaces generalize the Morrey spaces associated with the Dunkl operator on R d ( D k -Morrey space) so that L p,λ ( µ k ) ≡ L p,λ,λ ( µ k ) and the modiﬁed Morrey spaces associated with the Dunkl operator on R d (modiﬁed D k -Morrey space) so that (cid:101) L p,λ ( µ k ) ≡ L p,λ, 0 ( µ k ) .

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来源期刊

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

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