Abstract
© Springer International Publishing Switzerland 2014. Let μ be a doubling Radon measure in ℝd such that supp μ = ℝd. A function f ∈ L1loc(μ) is said to belong to BMO(μ) (the space of functions with bounded mean oscillation with respect to μ) if there exists some constant c1 such that {Formula presented}, where the supremum is taken over all the cubes Q ⊂ ℝd and mQ(f) stands for the mean of f over Q with respect to μ, i.e. mQ(f) = ∫ Q f dμ/μ(Q).
Original language | English |
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Title of host publication | Progress in Mathematics |
Pages | 319-379 |
Number of pages | 60 |
Volume | 307 |
ISBN (Electronic) | 2296-505X |
DOIs | |
Publication status | Published - 1 Jan 2014 |