On the basicity of unitary system of exponents in the variable exponent Lebesgue spaces
On the basicity of unitary system of exponents in the variable exponent Lebesgue spaces
Summary: In the present work it is considered the system of functions \(a(t)e^{int} - b(t)e^{-int}\), \(n \in N\), with complex-valued coefficients \(a(\cdot);b(\cdot): [0, \pi]\rightarrow C\). Sufficient conditions on the coefficients of the system are found in order for the system to form a basis in Lebesgue spaces with variable exponent.
- Khazar University, Library and Information Center Azerbaijan
- Khazar University Azerbaijan
Hardy spaces, basisness, exponential systems, Function spaces arising in harmonic analysis, variable exponents, generalized Lebesgue spaces, Completeness of sets of functions in nontrigonometric harmonic analysis
Hardy spaces, basisness, exponential systems, Function spaces arising in harmonic analysis, variable exponents, generalized Lebesgue spaces, Completeness of sets of functions in nontrigonometric harmonic analysis
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