Extension of mikhlin multiplier theorem to fractional derivatives and stable processes
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Dosyalar
Tarih
2018-04-25
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter GMBH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection between fractional derivatives and stable processes and prove a version of Mikhlin theorem under a condition given in terms of the infinitesimal generator of symmetric stable process. The classical Mikhlin theorem is shown to be a corollary of this new generalized version in this paper.
Açıklama
Anahtar Kelimeler
Fractional derivatives, Generator form, Mikhlin multiplier theorem, Stable process, Bounded operator, Stochastic process, Equation, Density, Maximal regularity, Well-posedness, Fourier multiplier
Kaynak
Fractional Calculus And Applied Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
21
Sayı
2
Künye
Karlı, D. (2018). Extension of mikhlin multiplier theorem to fractional derivatives and stable processes. Fractional Calculus and Applied Analysis, 21(2), 486-508. doi:10.1515/fca-2018-0027
