
It appears as though the "stretch" setting for the H & V Alignment & ContentAlignment properties on the SyntaxEditor have no effect.
<Controls:TabControl x:Name="tabControl">
<Controls:TabItem x:Name="editorTab" HorizontalContentAlignment="Stretch" VerticalContentAlignment="Stretch">
<Controls:TabItem.Header>
Editor
</Controls:TabItem.Header>
<Controls:TabItem.Content>
<StackPanel x:Name="stackPanel" Background="Aqua" HorizontalAlignment="Stretch" VerticalAlignment="Stretch" >
<editor:SyntaxEditor x:Name="syntaxEditor" DocumentTextChanged="OnEditorDocumentTextChanged" IsLineNumberMarginVisible="True" HorizontalAlignment="Stretch" HorizontalContentAlignment="Stretch" VerticalAlignment="Stretch" VerticalContentAlignment="Stretch">
<editor:EditorDocument x:Name="document">
<system:String xml:space="preserve">Test</system:String>
</editor:EditorDocument>
</editor:SyntaxEditor>
</StackPanel>
</Controls:TabItem.Content>
</Controls:TabItem>
</Controls:TabControl>