Title | BOUNDEDNESS AND CONTINUITY PROPERTIES OF NONLINEAR COMPOSITION OPERATORS: A SURVEY |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | APPELL, J, GUANDA, N, MERENTES, N, SANCHEZ, JL |
Secondary Title | Communications in Applied Analysis |
Volume | 15 |
Issue | 2 |
Start Page | 153 |
Pagination | 182 |
Date Published | 04/2011 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 26A15, 26A16, 26A45, 26A46. |
Abstract | In this paper we give an overview of mapping, continuity and boundedness properties of nonlinear composition operators of type Hf (t) := h(f (t)) or Hf (t) := h(t, f (t)) in the function spaces C([a, b]), C1 ([a, b]), Lipα ([a, b]), AC([a, b]), BV ([a, b]), W BVp ([a, b]), and RBVp ([a, b]).
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URL | http://www.acadsol.eu/en/articles/15/2/3.pdf |
Short Title | NONLINEAR COMPOSITION OPERATORS |
Refereed Designation | Refereed |
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