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Factorization theorems for some spaces of analytic functions.
Authors: R.F. Shamoyan
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Abstract
We provide several factorization theorems for different subspaces of the space of all analytic functions in the unit disk, in particular we prove a strong factorization theorem for Classical Hardy classes with Muckenhoupt weights. Proofs are based on a new weighted version of Coifman-Meyer-Stein theorem on factorization of tent spaces and on properties of an extremal outher function,which was constructed by E. Dynkin.E-mail:
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Contents
- Lie algebras of operators and invariant GL(2, ℜ)-integrals for Darboux type differential systems.
- Measure of stability for a finite cooperative game with a generalized concept of equilibrium.
- Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients.
- Criterion of parametrical completeness in the 6-element non-chain extension of Intuitionistic logic of A. Heyting.
- Linear stability bounds in a convection problem for variable gravity field.
- A new method for computing the number of n-quasigroups.
- The GL(2, ℜ)-orbits of polynomial differential systems of degree four.
- A Linear Parametrical Programming Approach for Studying and Solving Bilinear Programming Problem.
- On topological torsion LCA groups with commutative ring of continuous endomorphisms.
- Natural classes and torsion free classes in categories of modules.
- Finite difference schemes for problems of mixture of two component elastic materials.
- Characteristic functions of Markovian random evolutions in ℜm.
- Nearly simple elementary divisor domains.
- Factorization theorems for some spaces of analytic functions.
