On the harmonic extension approach to fractional powers in Banach spaces
2020 ◽
Vol 23
(4)
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pp. 1054-1089
Keyword(s):
AbstractWe show that fractional powers of general sectorial operators on Banach spaces can be obtained by the harmonic extension approach. Moreover, for the corresponding second order ordinary differential equation with incomplete data describing the harmonic extension we prove existence and uniqueness of a bounded solution (i.e., of the harmonic extension).
2000 ◽
Vol 23
(11)
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pp. 783-788
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2021 ◽
Vol 1900
(1)
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pp. 012010
1964 ◽
Vol 281
(1385)
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pp. 184-206
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1982 ◽
Vol 37
(8)
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pp. 830-839
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1997 ◽
Vol 40
(2)
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pp. 275-291
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