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Keywords:
fractional integral operators; fractional derivative operators; spaces of homogeneous type; Besov spaces; Triebel-Lizorkin spaces
fractional integral operators; fractional derivative operators; spaces of homogeneous type; Besov spaces; Triebel-Lizorkin spaces
Summary:
References:
[GSV] Gatto A.E., Segovia C., Vági S.: On fractional differentiation and integration on spaces of homogeneous type. Rev. Mat. Iberoamericana 12 2 (1996), 111-145. MR 1387588
[H] Hartzstein S.I.: Acotación de operadores de Calderón-Zygmund en espacios de Triebel-Lizorkin y de Besov generalizados sobre espacios de tipo homogéneo. Thesis, 2000, UNL, Santa Fe, Argentina.
[HV1] Hartzstein S.I., Viviani B.E.: $T1$ theorems on generalized Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. Revista de la Unión Matemática Argentina, 42 1 (2000), 51-73. MR 1852730 | Zbl 0995.42011
[HV2] Hartzstein S.I., Viviani B.E.: Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type. Comment. Math. Univ. Carolinae 43 (2002), 723-754. MR 2046192 | Zbl 1091.26002
[MS] Macías R.A., Segovia C.: Lipschitz functions on spaces of homogeneous type. Adv. in Math. 33 (1979), 257-270. MR 0546295
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