Yes it can. The tropospheric ozone net production rate depends on the solar UV irradiance. It photolyses NO2 producing atomic oxygen, which can then recombine with O2 producing ozone. The level of solar UV reaching the tropopshere depends on stratospheric aeroso, because it reflect solar irradiance and also destroy stratospheric ozone. Tropospheric aerosol is also important because it regulate chemical composition of the troposphere in general and in particular the ozone precursors, which are necessary for effective ozone production.
Yes it is. An other important contribution to ozone genesis is due to the VOC emissions (Volatile Organic Compounds), especially from plants and other natural sources. These compounds may also contribute to the formation of aerosols (namely PM) in the troposphere through a complex chemical dynamic with other molecules in the air. This phenomena is particularly present, for instance, in the Mediterranean environment, because the climate and the presence of plant species strong emitters of monotherpene and isoprene. .The total amount of VOCs released into the ambient from plants is really big and so not negligible.
Aerosols by virtue of their chemical composition react with oxygen forming ozone. And inert particles such as black carbon provide surface area for various chemical reactions pertaining to ozone. Hence aerosols play a role in ozone formation and destruction.
Perfect. I would like to add some elements to complicate the matter. May be interesting to point out that ozone precursors such as NO2 (or NO more exactly), can be emitted from the same source of fine particulate matter (namely PM1 and PM2.5) that are represented mainly by anthropogenic carbonaceous fraction. Obviously, primary sources are traffic and heatings (but industrial emissions too). Moreover, in order to complicate the scenario, VOCs emitted from natural and athropogenic sources, may react with NO, decreasing its concentration, so inducing the accumulation of ozone in the atmosphere because it is necessary to destroy it. The same VOCs may contribute to airborne particulate formation....
So (cor)relations you can find between ozone and aerosols (in particular PM) may be as conseguence of these complex interactions.
Valerio's points are on target, and there are many manuscripts and books which discuss the topic dating back from now to the 1970's. ACHEX was one of the first major field experiments, Led by George Hidy and others