Articles with "triebel lizorkin" as a keyword



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Harmonic Besov and Triebel–Lizorkin Spaces on the Ball

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Published in 2017 at "Journal of Fourier Analysis and Applications"

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
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Two Types of Rubio de Francia Operators on Triebel–Lizorkin and Besov Spaces

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Published in 2017 at "Journal of Fourier Analysis and Applications"

DOI: 10.1007/s00041-018-9617-3

Abstract: We discuss generalizations of Rubio de Francia’s inequality for Triebel–Lizorkin and Besov spaces, continuing the research from Osipov (Sb Math 205(7): 1004–1023, 2014) and answering Havin’s question to one of the authors. Two versions of… read more here.

Keywords: triebel lizorkin; besov spaces; lizorkin besov; rubio francia ... See more keywords
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Remarks on the Well-Posedness of the Euler Equations in the Triebel–Lizorkin Spaces

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Published in 2019 at "Journal of Fourier Analysis and Applications"

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
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Variable 2-Microlocal Besov–Triebel–Lizorkin-Type Spaces

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Published in 2018 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-018-7311-7

Abstract: This article is devoted to the study of variable 2-microlocal Besov-type and Triebel–Lizorkin-type spaces. These variable function spaces are defined via a Fourier-analytical approach. The authors then characterize these spaces by means of ϕ-transforms, Peetre… read more here.

Keywords: type; variable microlocal; triebel lizorkin; microlocal besov ... See more keywords
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Lipschitz and Triebel–Lizorkin spaces associated with the Dunkl operators on $$\mathbb {R}^d$$Rd

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Published in 2019 at "Positivity"

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
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Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces

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Published in 2020 at "Science China Mathematics"

DOI: 10.1007/s11425-017-9416-5

Abstract: In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in $$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$ ℱ β ( S n − 1 ) , a topic that relates to the… read more here.

Keywords: maximal functions; triebel lizorkin; boundedness continuity; singular integrals ... See more keywords
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Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces

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Published in 2019 at "Frontiers of Mathematics in China"

DOI: 10.1007/s11464-019-0742-3

Abstract: We establish the boundedness and continuity of parametric Marcinkiewicz integrals associated to homogeneous compound mappings on Triebel-Lizorkin spaces and Besov spaces. Here the integral kernels are provided with some rather weak size conditions on the… read more here.

Keywords: boundedness continuity; mappings triebel; marcinkiewicz integrals; associated homogeneous ... See more keywords
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Measure density and embeddings of Hajłasz-Besov and Hajłasz-Triebel-Lizorkin spaces

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Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.11.086

Abstract: In this paper, we investigate the relation between Sobolev-type embeddings of Haj{\l}asz-Besov spaces (and also Haj{\l}asz-Triebel-Lizorkin spaces) defined on a metric measure space $(X,d,\mu)$ and lower bound for the measure $\mu.$ We prove that if… read more here.

Keywords: asz triebel; asz besov; embeddings haj; triebel lizorkin ... See more keywords
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Corrigendum to “Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents” [J. Math. Anal. Appl. 381 (1) (2011) 280-298]

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Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123801

Abstract: Abstract In this note, we correct a technical error in the proof of Theorem 2.2 in [1] . read more here.

Keywords: triebel lizorkin; type besov; corrigendum characterizations; morrey type ... See more keywords
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Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls

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Published in 2017 at "Canadian Mathematical Bulletin"

DOI: 10.4153/cmb-2016-076-7

Abstract: Abstract Let $\ell \in \mathbb{N}$ and $\alpha \in (0,2\ell )$ . In this article, the authors establish equivalent characterizations of Besov-type spaces, Triebel–Lizorkin-type spaces, and Besov–Morrey spaces via the sequence ${{\{f-{{B}_{\ell ,{{2}^{-k}}}}f\}}_{k}}$ consisting of the… read more here.

Keywords: triebel lizorkin; besov type; characterizations besov; type spaces ... See more keywords