The following xaml shows the problem, the Styles are successfully applied only to the TextBlocks outside the TabControl.  What is going wrong?  If I have a Style that I am using to present text consistently on a page, how do I apply that Style to the text within a TabControl?

<UserControl x:Class="TabTextTest.Page"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation" 
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml" 
    xmlns:ctlx="clr-namespace:System.Windows.Controls;assembly=System.Windows.Controls.Extended"
    Width="400" Height="300">
    <StackPanel x:Name="LayoutRoot" Background="White">
        <StackPanel.Resources>
            <Style TargetType="TextBlock" x:Key="RedText">
                <Setter Property="Foreground" Value="Red"/>
            </Style>
            <Style TargetType="TextBlock" x:Key="GreenText">
                <Setter Property="Foreground" Value="Green"/>
            </Style>
        </StackPanel.Resources>
        <ctlx:TabControl>
            <ctlx:TabItem>
                <ctlx:TabItem.Header>
                    <TextBlock Style="{StaticResource RedText}" Text="Red"/>
                </ctlx:TabItem.Header>
                <TextBlock Style="{StaticResource GreenText}" Text="Green"/>
            </ctlx:TabItem>
        </ctlx:TabControl>
        <TextBlock Style="{StaticResource RedText}" Text="Red"/>
        <TextBlock Style="{StaticResource GreenText}" Text="Green"/>
    </StackPanel>
</UserControl>