Local properties are not exported to HTML when style is applied over document element (paragraphs, spans, tables) in case the HtmlExportSettings.StyleExportMode is set to Inline.

To reproduce:
- Add two hyperlinks with differents font and font weights.
- Export them with the following code:
private void button1_Click(object sender, EventArgs e)
{
    HtmlFormatProvider html_provider = default(HtmlFormatProvider);
    string htmlBody = null;
    html_provider = new HtmlFormatProvider();
    html_provider.ExportSettings.StylesExportMode = StylesExportMode.Inline;
    html_provider.ExportSettings.StyleRepositoryExportMode = StyleRepositoryExportMode.ExportStylesAsCssClasses;
    htmlBody = html_provider.Export(radRichTextEditor1.Document);
    File.WriteAllText("test.html", htmlBody);
}
- Open the file and you will notice that the custom styles are not exported (the links are having the same style).

Workaround: 
html_provider.ExportSettings.StylesExportMode = StylesExportMode.Classes;