should I indicate that I can disclose full working experience upon request?
Listing 'description of duties' might be overkill for a one page resume; I would indeed keep a separate resume with full details and note on the 1-page that details & references are available upon request.
Some companies use this 1-page resume as a way to screen out candidates that don't meet their idea of having proper experience.
How many years of experience do you have, and what kinds of jobs are you leaving out? If, for example, you're a few years out of school and starting to drop your undergrad part time or summer experience from your resume, that's totally normal and expected. Generally, titling your work section "Relevant Experience" is a good way of conveying that you may have had other jobs that aren't as relevant for the application. Definitely cut less relevant jobs to stay on one page. My rule of thumb (though other people definitely have different opinions): until you're VP-level+, do not go onto a second page. It's rare, early in your career, to have so much truly relevant work experience that you can't cut bullets or whole jobs to make your resume one page. Obviously, YMMV, different strokes for different folks, etc.