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Volumn 388, Issue 1, 2012, Pages 175-190

A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2

Author keywords

Fractional Laplacian; Littlewood Paley inequality

Indexed keywords


EID: 84455202367     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.11.031     Document Type: Article
Times cited : (15)

References (14)
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  • 2
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    • Bogdan K., Jakubowski T. Estimates of heat kernel of fractional Laplacian perturbed by gradient operators. Comm. Math. Phys. 2007, 271(1):179-198.
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  • 3
    • 34548348805 scopus 로고    scopus 로고
    • An extension problem related to the fractional Laplacian
    • Caffarelli L., Silvestre L. An extension problem related to the fractional Laplacian. Comm. Partial Differential Equations 2007, 32(7-9):1245-1260.
    • (2007) Comm. Partial Differential Equations , vol.32 , Issue.7-9 , pp. 1245-1260
    • Caffarelli, L.1    Silvestre, L.2
  • 5
    • 0010003910 scopus 로고    scopus 로고
    • Symmetric stable laws and stable-like jump-diffusions
    • Kolokoltsov V. Symmetric stable laws and stable-like jump-diffusions. Proc. Lond. Math. Soc. (3) 2000, 80:725-768.
    • (2000) Proc. Lond. Math. Soc. (3) , vol.80 , pp. 725-768
    • Kolokoltsov, V.1
  • 6
    • 0002079188 scopus 로고
    • A generalization of the Littlewood-Paley inequality and some other results related to stochastic partial differential equations
    • Krylov N.V. A generalization of the Littlewood-Paley inequality and some other results related to stochastic partial differential equations. Ulam Quaterly 1994, 2(4):16-26.
    • (1994) Ulam Quaterly , vol.2 , Issue.4 , pp. 16-26
    • Krylov, N.V.1
  • 7
    • 0742328687 scopus 로고
    • Introduction to the Theory of Diffusion Processes
    • AMS, Providence, RI
    • Krylov N.V. Introduction to the Theory of Diffusion Processes. Transl. Math. Monogr. 1995, vol. 142. AMS, Providence, RI.
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    • Krylov, N.V.1
  • 8
    • 0001646937 scopus 로고    scopus 로고
    • An analytic approach to SPDEs
    • AMS, Providence, RI, Stochastic Partial Differential Equations: Six Perspectives
    • Krylov N.V. An analytic approach to SPDEs. Math. Surveys Monogr. 1999, vol. 64:185-242. AMS, Providence, RI.
    • (1999) Math. Surveys Monogr. , vol.64 , pp. 185-242
    • Krylov, N.V.1
  • 9
    • 54049123162 scopus 로고    scopus 로고
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    • Chapman & Hall/CRC, Boca Raton, FL, Stochastic Partial Differential Equations and Applications-VII
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    • (2006) Lect. Notes Pure Appl. Math. , vol.245 , pp. 179-191
    • Krylov, N.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.