I have posted before that in my case eradication of HP was really difficult, and I know that I'm still left with some very mild gastritis... As Im from nature very inquisitive I have check for allergies ... and found that my IgE was very elevated 280 iU/L with norm under 100 iU/L... Hier is works about allergies and HP infection
http://cornetis.pl/pliki/PW/2002/3/PW_2002_3_303.pdf
they make conclusion that HP infection can be consequenve of allergy, people with allergies get HP more easily... and HP can elevate that allergy response
On the other side prof. Romanski (I know only about some not publisched presentation) think that allergy can be a conseqence of HP (impaired digestion, hypochlohydria and so on), but also can be the secondary think to allergy and can deepen existing allergy and inflamation
here is some link
http://www.ncbi.nlm.nih.gov/pubmed/16670517
generally not all infected people have elevated IgE titers... there is some question what was first egg or chicken...
Maybe some trial with elimination diet with antibiotics can provide better eradication in helicobacter infected paptient who suffer as well from allergies... something like 1-2 month on diet without allergens and later eradication treatment... I will be not suprise when that approach can elimnate both allergies and HP... I was trying eliminate only HP , but maybe it was only partial solution, therefore it was so so difficult...