FOURIER INTEGRAL OPERATORS AND NONLINEAR WAVE EQUATIONS
Pełen tekst
Powiązane dokumenty
We state the following theorem concerning a commutation relation, called Zharkovskaya’s relation, between Hecke operators and the Siegel op- erator acting on Siegel modular forms
Let ME denote the family of all nonempty and bounded subsets of E and NE the family of all nonempty and relatively compact sets in E.. D e f in it io
ANNALES SOCIETAT1S MATHEMATICAE POLONAE Series I: COMMENTATIONES MATHEMATICAE XXII (1981) ROCZNIKI POLSKIEGO TOWARZYSTWA MATEMATYCZNEGO1. Séria I: PRACE MATEMATYCZNE
Abstract: In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product..
We shall use, in this section, the admissibility theory of pairs of function spaces, in order to find existence (and uniqueness) results for some classes of nonlinear
Some authors gave similar univalence conditions by using bounded functions f (z) ∈ A in their papers, see the works (for example Breaz et al.. We note that the functions f ∈ A do
They find conditions on the function jj and the constant C in the formula (1) for the implication : f £ Ma => F € Afa to be satisfied, where Ma denotes the Mocanu dass.
For completness we refer to a result of Lemmert [5], who proves the monotonicity of an operator 4' corresponding to an initial value problem in ordered Banach spaces,