Besov‐Type Spaces Associated With Dunkl Wavelet Transform on ℝ$$ \mathbb{R} $$

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ABSTRACTWe define the Besov‐type spaces related to Dunkl transform. We extend the concept of continuous wavelet transform on space and derive continuity of Dunkl wavelet transform on Besov‐type spaces. We characterize the Besov–Dunkl space by using Dunkl wavelet coefficients. Lastly, boundedness results in a generalized Besov space and Lizorkin–Triebel space are discussed.