Duality of generalized Dunkl-Lipschitz spaces

Kallel, Samir

doi:10.1016/s0252-9602(17)30092-9

Search citation statements

Order By: Relevance

Paper Sections

Select...

Dunkl Transforms On Generalized Dunkl–lipschitz Spaces1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fourth step: The case where

1 < p < 2

for (ii). Since

\land_{0, p^{'}, p}^{k} false(I R false)

is the topological dual of

\land_{0, p, p^{'}}^{k} false(I R false)

(see ) and

L^{p^{'}} {true(I R, false| x false|}^{2 k} dx true)

is the topological dual of

L^{p} {(I R, | x |}^{2 k} dx false)

, then the result is shown to hold by applying the duality argument from the third step.

□

…”

Section: Dunkl Transforms On Generalized Dunkl–lipschitz Spacesmentioning

confidence: 99%

Some results on generalized Dunkl–Lipschitz spaces

Kallel

2019

Mathematische Nachrichten

Self Cite

View full text Add to dashboard Cite

In this paper we study certain relations between the Dunkl-Sobolev classes of fractional order  , ( ) and the generalized Dunkl-Lipschitz classes ∧ , , ( ). Next, we show a Dunkl-Hardy-Littlewood theorem for -temperatures and its dual. Also, we give some theorems on Dunkl convolutions of Dunkl-Lipschitz functions. Finally, we establish some results concerning the Dunkl transforms of functions and distributions belonging to generalized Dunkl-Lipschitz spaces. K E Y W O R D SDunkl operator, Dunkl transform, generalized Dunkl-Lipschitz space, maximal functions M S C ( 2 0 1 0 ) 26A16, 42A38, 42B25, 46E30 www.mn-journal.org

show abstract

“…Fourth step: The case where