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Pietro Majer
Pietro Majer
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Luis Silvestre's work (e.g., HolderHölder estimates for solutions of integro differential equations like the fractional laplace, Indiana Univ. Math. J. 55 (2006), 1155-1174) and classical potential theory estimates, taken together, give you $C^\alpha$ HolderHölder type regularity. Assuming, that is, that s is not too large.

Luis Silvestre's work (e.g., Holder estimates for solutions of integro differential equations like the fractional laplace, Indiana Univ. Math. J. 55 (2006), 1155-1174) and classical potential theory estimates, taken together, give you $C^\alpha$ Holder type regularity. Assuming, that is, that s is not too large.

Luis Silvestre's work (e.g., Hölder estimates for solutions of integro differential equations like the fractional laplace, Indiana Univ. Math. J. 55 (2006), 1155-1174) and classical potential theory estimates, taken together, give you $C^\alpha$ Hölder type regularity. Assuming, that is, that s is not too large.

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Ray Yang
Ray Yang
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Luis Silvestre's work (e.g., Holder estimates for solutions of integro differential equations like the fractional laplace, Indiana Univ. Math. J. 55 (2006), 1155-1174) and classical potential theory estimates, taken together, give you $C^\alpha$ Holder type regularity. Assuming, that is, that s is not too large.