Extension results for slice regular functions of a quaternionic variable
β Scribed by Fabrizio Colombo; Graziano Gentili; Irene Sabadini; Daniele Struppa
- Book ID
- 108051695
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 172 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
Let β¦ β C 2 . We prove that there exist differential operators T and N, with complex coefficients, such that a function f : β¦ β H of class C 1 is regular if and only if (N -jT )f = 0 on ββ¦ (j a basic quaternion) and f is harmonic on β¦. At the same time we generalize a result of Kytmanov and Aizenber
We consider the integral functional f (x, Du) dx under non-standard growth assumptions that we call p(x) type: namely, we assume that |z| p(x) f (x, z) L(1 + |z| p(x) ), a relevant model case being the functional Under sharp assumptions on the continuous function p(x) > 1 we prove regularity of min