Harmonic Besov and Triebel–Lizorkin Spaces on the Ball
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DOI: 10.1007/s00041-016-9499-1
Abstract: Harmonic Besov and Triebel–Lizorkin spaces on the unit ball in $${\mathbb R}^d$$Rd with full range of parameters are introduced and studied. It is shown that these spaces can be identified with respective Besov and Triebel–Lizorkin… read more here.
Keywords: lizorkin spaces; harmonic besov; triebel lizorkin; besov triebel ... See more keywords
Remarks on the Well-Posedness of the Euler Equations in the Triebel–Lizorkin Spaces
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DOI: 10.1007/s00041-021-09837-y
Abstract: We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel–Lizorkin spaces, which was not shown in the previous works [ 6 , 7 , 9 ]. The proof… read more here.
Keywords: triebel lizorkin; posedness euler; remarks well; lizorkin spaces ... See more keywords
Lipschitz and Triebel–Lizorkin spaces associated with the Dunkl operators on $$\mathbb {R}^d$$Rd
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DOI: 10.1007/s11117-019-00650-y
Abstract: In this paper we define Lipschitz and Triebel–Lizorkin spaces associated with the differential-difference Dunkl operators on $$\mathbb {R}^d$$Rd. We study inclusion relations among them. Next, some interpolation results and continuity results of some important operators… read more here.
Keywords: lizorkin spaces; triebel lizorkin; dunkl; lipschitz triebel ... See more keywords