1. For a math inset inside an emphasized text, the letters appear in Upright shape and not in italics.
2. The size of text in subscript is too small. This is especially true when in the text size is smaller than normal (e.g., when the formula is inside an abstract paragraph) See attached file.
#LyX 1.3 created this file. For more info see http://www.lyx.org/ \lyxformat 221 \textclass article \language english \inputencoding auto \fontscheme default \graphics default \paperfontsize default \papersize Default \paperpackage a4 \use_geometry 0 \use_amsmath 0 \use_natbib 0 \use_numerical_citations 0 \paperorientation portrait \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \defskip medskip \quotes_language english \quotes_times 2 \papercolumns 1 \papersides 1 \paperpagestyle default \layout Standard \emph on Some emphasized text \begin_inset Formula $a+b$ \end_inset . \emph default The a+b should be in italics! \layout Standard The size of text in subscript is too small: \begin_inset Formula $a^{a}$ \end_inset \layout Abstract Especially when in the text size is smaller than normal: \begin_inset Formula $a^{a}$ \end_inset \the_end