Public ReadOnly Property MapName As String

public string MapName {get;}

<Grid x:Name="LayoutRoot">
  
  <!-- Add a Map Control. Set the Extent to the area of the Falkland Islands. -->
  <esri:Map Background="White" HorizontalAlignment="Left" Margin="0,146,0,0" Name="Map1" VerticalAlignment="Top" 
            WrapAround="True" Height="334" Width="462" Extent="-6812193,-6932563,-6386857,-6625069">
    <esri:Map.Layers>
      <esri:LayerCollection>
             
        <!-- Add an ArcGISTiledMapServiceLayer. Note the Initialized Event is wired up with code-behind. -->
        <esri:ArcGISTiledMapServiceLayer ID="World_Street_Map" Initialized="ArcGISTiledMapServiceLayer_Initialized"
              Url="http://services.arcgisonline.com/ArcGIS/rest/services/World_Street_Map/MapServer" />
      </esri:LayerCollection>
    </esri:Map.Layers>
  </esri:Map>
    
  <!-- Display the ArcGISTiledMapServiceLayer.MapName to the user. -->
  <TextBlock Height="23" HorizontalAlignment="Left" Margin="250,118,0,0" Name="TextBlock_MapName" 
             VerticalAlignment="Top" Width="212" />
  <sdk:Label Height="23" HorizontalAlignment="Left" Margin="2,120,0,0" Name="Label1" VerticalAlignment="Top" 
             Width="252" Content="ArcGISTiledMapServiceLayer.MapName:"/>
  
  <!-- Provide the instructions on how to use the sample code. -->
  <TextBlock Height="52" HorizontalAlignment="Left" Name="TextBlock1" VerticalAlignment="Top" Width="462" TextWrapping="Wrap" 
             Text="When the application loads the ArcGISTiledMapServiceLayer.MapName will be displayed in the TextBlock." />
  
</Grid>

private void ArcGISTiledMapServiceLayer_Initialized(object sender, System.EventArgs e)
{
  // Get the first layer in the LayerInfo collection. 
  ESRI.ArcGIS.Client.ArcGISTiledMapServiceLayer myArcGISTiledMapServiceLayer = null;
  myArcGISTiledMapServiceLayer = (ESRI.ArcGIS.Client.ArcGISTiledMapServiceLayer)(Map1.Layers[0]);
  
  // MapName Property (Read Only). Unless the 'Name' property is changed in the 'General' tab of the 
  // 'Data Frame Properties' dialog of ArcMap by the user when service is published, the MapName will 
  // be the string "Layers" (the default value). 
  TextBlock_MapName.Text = myArcGISTiledMapServiceLayer.MapName;
}

Private Sub ArcGISTiledMapServiceLayer_Initialized(sender As System.Object, e As System.EventArgs)
  
  ' Get the first layer in the LayerInfo collection. 
  Dim myArcGISTiledMapServiceLayer As ESRI.ArcGIS.Client.ArcGISTiledMapServiceLayer
  myArcGISTiledMapServiceLayer = CType(Map1.Layers.Item(0), ESRI.ArcGIS.Client.ArcGISTiledMapServiceLayer)
  
  ' MapName Property (Read Only). Unless the 'Name' property is changed in the 'General' tab of the 
  ' 'Data Frame Properties' dialog of ArcMap by the user when service is published, the MapName will 
  ' be the string "Layers" (the default value). 
  TextBlock_MapName.Text = myArcGISTiledMapServiceLayer.MapName
  
End Sub