Android: windowActionBarOverlay & android: actionBarStyle requires api level 11

I am making an Android application and using android-support-v7-appcompat support to make sure my application supports action panels from Android version 2.2 and higher.

I need to do an Action Bar overlay and use a translucent background, so I changed the styles.xml to this code:

    <resources>

    <style name="AppBaseTheme" parent="android:Theme.Light">
        <!--
            Theme customizations available in newer API levels can go in
            res/values-vXX/styles.xml, while customizations related to
            backward-compatibility can go here.
        -->
    </style>

    <!-- Application theme. -->
    <style name="AppTheme" parent="AppBaseTheme">
        <!-- All customizations that are NOT specific to a particular API-level can go here. -->
    </style>

    <!-- TRANSLUCENT THEME -->
    <style name="TranslucentAB" parent="Theme.AppCompat.Light">
        <item name="windowActionBarOverlay">true</item>
        <item name="android:windowActionBarOverlay">true</item>
        <item name="android:actionBarStyle">@style/BlackBar</item>
        <item name="actionBarStyle">@style/BlackBar</item>
    </style>

    <!-- TRANSLLUCENT COLOR STYLE -->
    <style name="BlackBar" parent="@style/Widget.AppCompat.Light.ActionBar.Solid.Inverse">
        <item name="android:background">@drawable/halfblack</item>
        <item name="background">@drawable/halfblack</item>
    </style>

</resources>

and a modified manifest file to adapt the new ActionBar as:

android:theme="@style/TranslucentAB"

The problem is that the following two lines of code require API level 11 and higher:

<item name="android:windowActionBarOverlay">true</item>
<item name="android:actionBarStyle">@style/BlackBar</item>

API 8 . , Android 2.2 . Android 4.3, . halfblack - png 70% - .