Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators

Cao J, Grigoryan A (2020)
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26(1): 3.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Let L=-div(A backward difference be a uniformly elliptic operator in Rn with real, symmetric, measurable coefficients. We study the identity of two families of Besov spaces Bp,qs,L and Bp,qs , where the former one is defined using the heat semigroup of L , while the latter one is defined in a classical way, using the metric structure of Rn. A sharp range of parameters p, q, s ensuring the identity Bp,qs,L=Bp,qs {L}}}=B_{p,q}<^>{s}$$\end{document} is given by a Hardy-Littlewood-Sobolev-Kato diagram.
Stichworte
Heat kernel; Elliptic operator; Besov space; Triebel-Lizorkin space; Functional calculus
Erscheinungsjahr
2020
Zeitschriftentitel
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Band
26
Ausgabe
1
Art.-Nr.
3
ISSN
1069-5869
eISSN
1531-5851
Page URI
https://pub.uni-bielefeld.de/record/2941897

Zitieren

Cao J, Grigoryan A. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 2020;26(1): 3.
Cao, J., & Grigoryan, A. (2020). Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 26(1), 3. doi:10.1007/s00041-019-09708-7
Cao, J., and Grigoryan, A. (2020). Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26:3.
Cao, J., & Grigoryan, A., 2020. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 26(1): 3.
J. Cao and A. Grigoryan, “Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators”, JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 26, 2020, : 3.
Cao, J., Grigoryan, A.: Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 26, : 3 (2020).
Cao, Jun, and Grigoryan, Alexander. “Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators”. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26.1 (2020): 3.

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